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Cremona, John E.

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Author ID: cremona.john-e Recent zbMATH articles by "Cremona, John E."
Published as: Cremona, J. E.; Cremona, John; Cremona, John E.; Cremona, J.
Documents Indexed: 54 Publications since 1984, including 4 Books

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 694 times in 545 Documents Cited by Year
Algorithms for modular elliptic curves. Zbl 0872.14041
Cremona, J. E.
184
1997
Algorithms for modular elliptic curves. Zbl 0758.14042
Cremona, J. E.
116
1992
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields. Zbl 0546.14027
Cremona, J. E.
32
1984
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
25
2000
Reduction of binary cubic and quartic forms. Zbl 0927.11020
Cremona, J. E.
24
1999
Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073
Cremona, John E.; Fisher, Tom A.; Stoll, Michael
22
2010
Height difference bounds for elliptic curves over number fields. Zbl 1162.11032
Cremona, J. E.; Prickett, M.; Siksek, Samir
22
2006
Efficient solution of rational conics. Zbl 1022.11031
Cremona, J. E.; Rusin, D.
20
2003
Finding all elliptic curves with good reduction outside a given set of primes. Zbl 1149.11028
Cremona, J. E.; Lingham, M. P.
20
2007
Classical invariants and 2-descent on elliptic curves. Zbl 0965.11025
Cremona, J. E.
16
2001
The analytic order of Ш for modular elliptic curves. Zbl 0795.14016
Cremona, J. E.
16
1993
Explicit \(n\)-descent on elliptic curves. I: Algebra. Zbl 1242.11039
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
16
2008
The elliptic curve database for conductors to 130000. Zbl 1143.11324
Cremona, John
15
2006
Computing the degree of the modular parametrization of a modular elliptic curve. Zbl 0835.11022
Cremona, J. E.
15
1995
Periods of cusp forms and elliptic curves over imaginary quadratic fields. Zbl 0798.11015
Cremona, J. E.; Whitley, E.
14
1994
Abelian varieties with extra twist, cusp forms, and elliptic curves over imaginary quadratic fields. Zbl 0773.14023
Cremona, J. E.
12
1992
Some density results for negative Pell equations; an application of graph theory. Zbl 0678.10015
Cremona, J. E.; Odoni, R. W. K.
11
1989
On the reduction theory of binary forms. Zbl 1153.11317
Stoll, Michael; Cremona, John E.
10
2003
Computing the rank of elliptic curves over real quadratic number fields of class number 1. Zbl 0927.11034
Cremona, J. E.; Serf, P.
8
1999
Unimodular integer circulants. Zbl 1217.11028
Cremona, J. E.
8
2008
Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031
Stoll, Michael; Cremona, John E.
7
2002
Tetrahedral elliptic curves and the local-global principle for isogenies. Zbl 1303.11066
Banwait, Barinder S.; Cremona, John E.
7
2014
The proportion of plane cubic curves over \(\mathbb{Q}\) that everywhere locally have a point. Zbl 1341.11033
Bhargava, Manjul; Cremona, John; Fisher, Tom
7
2016
What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035
Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P.
6
2016
Congruence subgroups, cusps and Manin symbols over number fields. Zbl 1375.11038
Cremona, J. E.; Aranés, M. T.
5
2014
The complex AGM, periods of elliptic curves over \(\mathbb C\) and complex elliptic logarithms. Zbl 1301.11055
Cremona, John E.; Thongjunthug, Thotsaphon
5
2013
On the Diophantine equation \(x^2+7=y^m\). Zbl 1026.11043
Siksek, Samir; Cremona, John E.
4
2003
On the Galois groups of the iterates of \(x^ 2+1\). Zbl 0699.12018
Cremona, J. E.
4
1989
Modular symbols for \({\Gamma{}}_ 1(N)\) and elliptic curves with everywhere good reduction. Zbl 0752.11022
Cremona, J. E.
4
1992
Explicit \(n\)-descent on elliptic curves. II: Geometry. Zbl 1243.11068
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
4
2009
Solving conics over functions fields. Zbl 1129.11053
van Hoeij, Mark; Cremona, John
4
2006
On the equivalence of binary quartics. Zbl 1159.14301
Cremona, J. E.; Fisher, T. A.
4
2009
Computing a lower bound for the canonical height on elliptic curves over \(\mathbb Q\). Zbl 1143.11333
Cremona, John; Siksek, Samir
3
2006
Computing periods of cusp forms and modular elliptic curves. Zbl 0894.11027
Cremona, John E.
3
1997
Explicit \(n\)-descent on elliptic curves. III: Algorithms. Zbl 1308.11058
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2
2015
A generalization of a result of Iwasawa on the capitulation problem. Zbl 0705.11068
Cremona, J. E.; Odoni, R. W. K.
2
1990
Shrinking lattice polyhedra. Zbl 0711.51010
Cremona, John; Landau, Susan
2
1990
Periods of cusp forms and elliptic curves over imaginary quadratic fields. Zbl 0914.11024
Cremona, John E.
2
1994
On \(\text{GL}(n)\) of a Dedekind domain. Zbl 0665.20026
Cremona, J. E.
2
1988
Black box Galois representations. Zbl 1443.11091
Argáez-García, Alejandro; Cremona, John
2
2018
Computational mathematics with SageMath. Translated from the 2013 French original by the authors. Zbl 1434.65001
Zimmermann, Paul; Casamayou, Alexandre; Cohen, Nathann; Connan, Guillaume; Dumont, Thierry; Fousse, Laurent; Maltey, François; Meulien, Matthias; Mezzarobba, Marc; Pernet, Clément; Thiéry, Nicolas M.; Bray, Eric; Cremona, John; Forets, Marcelo; Ghitza, Alexandru; Thomas, Hugh
2
2019
On the computation of Mordell-Weil and 2-Selmer groups of elliptic curves. Zbl 1042.11032
Cremona, J. E.
1
2002
Modular curves and Abelian varieties. Based on lectures of the conference, Bellaterra, Barcelona, July 15–18, 2002. Zbl 1032.11002
Cremona, John (ed.); Lario, Joan-Carles (ed.); Quer, Jordi (ed.); Ribet, Kenneth (ed.)
1
2004
The \(L\)-functions and Modular Forms Database project. Zbl 1354.11005
Cremona, John
1
2016
Computing the degree of a modular parametrization. Zbl 0840.14018
Cremona, J. E.
1
1994
Cyclically presented groups and resultants. Zbl 1234.20039
Cremona, J. E.; Edjvet, M.
1
2010
On a theorem of Mestre and Schoof. Zbl 1223.11072
Cremona, John E.; Sutherland, Andrew V.
1
2010
Computing in component groups of elliptic curves. Zbl 1232.11069
Cremona, J. E.
1
2008
Computational mathematics with SageMath. Translated from the 2013 French original by the authors. Zbl 1434.65001
Zimmermann, Paul; Casamayou, Alexandre; Cohen, Nathann; Connan, Guillaume; Dumont, Thierry; Fousse, Laurent; Maltey, François; Meulien, Matthias; Mezzarobba, Marc; Pernet, Clément; Thiéry, Nicolas M.; Bray, Eric; Cremona, John; Forets, Marcelo; Ghitza, Alexandru; Thomas, Hugh
2
2019
Black box Galois representations. Zbl 1443.11091
Argáez-García, Alejandro; Cremona, John
2
2018
The proportion of plane cubic curves over \(\mathbb{Q}\) that everywhere locally have a point. Zbl 1341.11033
Bhargava, Manjul; Cremona, John; Fisher, Tom
7
2016
What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035
Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P.
6
2016
The \(L\)-functions and Modular Forms Database project. Zbl 1354.11005
Cremona, John
1
2016
Explicit \(n\)-descent on elliptic curves. III: Algorithms. Zbl 1308.11058
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
2
2015
Tetrahedral elliptic curves and the local-global principle for isogenies. Zbl 1303.11066
Banwait, Barinder S.; Cremona, John E.
7
2014
Congruence subgroups, cusps and Manin symbols over number fields. Zbl 1375.11038
Cremona, J. E.; Aranés, M. T.
5
2014
The complex AGM, periods of elliptic curves over \(\mathbb C\) and complex elliptic logarithms. Zbl 1301.11055
Cremona, John E.; Thongjunthug, Thotsaphon
5
2013
Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073
Cremona, John E.; Fisher, Tom A.; Stoll, Michael
22
2010
Cyclically presented groups and resultants. Zbl 1234.20039
Cremona, J. E.; Edjvet, M.
1
2010
On a theorem of Mestre and Schoof. Zbl 1223.11072
Cremona, John E.; Sutherland, Andrew V.
1
2010
Explicit \(n\)-descent on elliptic curves. II: Geometry. Zbl 1243.11068
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
4
2009
On the equivalence of binary quartics. Zbl 1159.14301
Cremona, J. E.; Fisher, T. A.
4
2009
Explicit \(n\)-descent on elliptic curves. I: Algebra. Zbl 1242.11039
Cremona, J. E.; Fisher, T. A.; O’Neil, C.; Simon, D.; Stoll, M.
16
2008
Unimodular integer circulants. Zbl 1217.11028
Cremona, J. E.
8
2008
Computing in component groups of elliptic curves. Zbl 1232.11069
Cremona, J. E.
1
2008
Finding all elliptic curves with good reduction outside a given set of primes. Zbl 1149.11028
Cremona, J. E.; Lingham, M. P.
20
2007
Height difference bounds for elliptic curves over number fields. Zbl 1162.11032
Cremona, J. E.; Prickett, M.; Siksek, Samir
22
2006
The elliptic curve database for conductors to 130000. Zbl 1143.11324
Cremona, John
15
2006
Solving conics over functions fields. Zbl 1129.11053
van Hoeij, Mark; Cremona, John
4
2006
Computing a lower bound for the canonical height on elliptic curves over \(\mathbb Q\). Zbl 1143.11333
Cremona, John; Siksek, Samir
3
2006
Modular curves and Abelian varieties. Based on lectures of the conference, Bellaterra, Barcelona, July 15–18, 2002. Zbl 1032.11002
Cremona, John; Lario, Joan-Carles; Quer, Jordi; Ribet, Kenneth
1
2004
Efficient solution of rational conics. Zbl 1022.11031
Cremona, J. E.; Rusin, D.
20
2003
On the reduction theory of binary forms. Zbl 1153.11317
Stoll, Michael; Cremona, John E.
10
2003
On the Diophantine equation \(x^2+7=y^m\). Zbl 1026.11043
Siksek, Samir; Cremona, John E.
4
2003
Minimal models for 2-coverings of elliptic curves. Zbl 1067.11031
Stoll, Michael; Cremona, John E.
7
2002
On the computation of Mordell-Weil and 2-Selmer groups of elliptic curves. Zbl 1042.11032
Cremona, J. E.
1
2002
Classical invariants and 2-descent on elliptic curves. Zbl 0965.11025
Cremona, J. E.
16
2001
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
25
2000
Reduction of binary cubic and quartic forms. Zbl 0927.11020
Cremona, J. E.
24
1999
Computing the rank of elliptic curves over real quadratic number fields of class number 1. Zbl 0927.11034
Cremona, J. E.; Serf, P.
8
1999
Algorithms for modular elliptic curves. Zbl 0872.14041
Cremona, J. E.
184
1997
Computing periods of cusp forms and modular elliptic curves. Zbl 0894.11027
Cremona, John E.
3
1997
Computing the degree of the modular parametrization of a modular elliptic curve. Zbl 0835.11022
Cremona, J. E.
15
1995
Periods of cusp forms and elliptic curves over imaginary quadratic fields. Zbl 0798.11015
Cremona, J. E.; Whitley, E.
14
1994
Periods of cusp forms and elliptic curves over imaginary quadratic fields. Zbl 0914.11024
Cremona, John E.
2
1994
Computing the degree of a modular parametrization. Zbl 0840.14018
Cremona, J. E.
1
1994
The analytic order of Ш for modular elliptic curves. Zbl 0795.14016
Cremona, J. E.
16
1993
Algorithms for modular elliptic curves. Zbl 0758.14042
Cremona, J. E.
116
1992
Abelian varieties with extra twist, cusp forms, and elliptic curves over imaginary quadratic fields. Zbl 0773.14023
Cremona, J. E.
12
1992
Modular symbols for \({\Gamma{}}_ 1(N)\) and elliptic curves with everywhere good reduction. Zbl 0752.11022
Cremona, J. E.
4
1992
A generalization of a result of Iwasawa on the capitulation problem. Zbl 0705.11068
Cremona, J. E.; Odoni, R. W. K.
2
1990
Shrinking lattice polyhedra. Zbl 0711.51010
Cremona, John; Landau, Susan
2
1990
Some density results for negative Pell equations; an application of graph theory. Zbl 0678.10015
Cremona, J. E.; Odoni, R. W. K.
11
1989
On the Galois groups of the iterates of \(x^ 2+1\). Zbl 0699.12018
Cremona, J. E.
4
1989
On \(\text{GL}(n)\) of a Dedekind domain. Zbl 0665.20026
Cremona, J. E.
2
1988
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields. Zbl 0546.14027
Cremona, J. E.
32
1984
all top 5

Cited by 557 Authors

22 Cremona, John E.
21 Fisher, Tom A.
20 Dujella, Andrej
14 Stoll, Michael
13 Siksek, Samir
10 Peral Alonso, Juan Carlos
9 Stein, William A.
7 González-Jiménez, Enrique
7 Mazur, Barry
6 Gunnells, Paul E.
6 Kida, Masanari
6 Kraus, Alain
6 Sadek, Mohammad
6 Simon, Denis
6 Wuthrich, Christian
6 Yasaki, Dan
5 Agashe, Amod
5 Bennett, Michael A.
5 Billerey, Nicolas
5 Creutz, Brendan
5 Delaunay, Christophe
5 Dieulefait, Luis Victor
5 González, Josep R.
5 Guitart, Xavier
5 Halberstadt, Emmanuel
5 Jeon, Daeyeol
5 Şengün, Mehmet Haluk
4 Bhargava, Manjul
4 Flynn, Eugene Victor
4 Ho, Wei
4 Jukić Bokun, Mirela
4 Masdeu, Marc
4 Matsuno, Kazuo
4 Poonen, Bjorn
4 Rahm, Alexander Daniel
4 Rubin, Karl Cooper
4 Schoof, René
4 Stroeker, Roelof J.
4 Sutherland, Andrew V.
4 Tadić, Petra
4 Voight, John Michael
4 Williams, Gerald
3 Aguirre Estibalez, Julián
3 Berger, Tobias
3 Beshaj, Lubjana
3 Bruin, Nils
3 Chen, Imin
3 Darmon, Henri René
3 de Weger, Benjamin M. M.
3 Dembélé, Lassina
3 Dummigan, Neil
3 Duquesne, Sylvain
3 Freitas, Nuno
3 Ivanyos, Gábor
3 Kutas, Péter
3 Leprévost, Franck
3 Luca, Florian
3 Mignotte, Maurice
3 Miller, Robert L.
3 Najman, Filip
3 Ono, Ken
3 Pacetti, Ariel
3 Papikian, Mihran
3 Rónyai, Lajos
3 Schaefer, Edward F.
3 Shankar, Arul
3 Shaska, Tanush
3 Taylor, Richard Lawrence
3 Tornero, José María
3 Uchida, Yukihiro
3 Voutier, Paul M.
3 Xiao, Stanley Yao
3 Yabuta, Minoru
3 Yang, Yifan
2 Anni, Samuele
2 Ash, Avner
2 Balakrishnan, Jennifer S.
2 Box, Josha
2 Bugeaud, Yann
2 Chapman, Robin J.
2 Daniels, Harris B.
2 Doud, Darrin
2 Doyle, John R.
2 Draziotis, Konstantinos A.
2 Edjvet, Martin
2 Everest, Graham Robert
2 Farmer, David W.
2 Fernandez, Julio
2 Galbraith, Steven D.
2 García-Selfa, Irene
2 Gerth, Frank III
2 Grant, David R.
2 Greenberg, Matthew
2 Gusić, Ivica
2 Hutz, Benjamin
2 Jarvis, Frazer
2 Jedrzejak, Tomasz
2 Klagsbrun, Zev
2 Klosin, Krzysztof
2 Koprowski, Przemysław
...and 457 more Authors
all top 5

Cited in 117 Serials

77 Journal of Number Theory
58 Mathematics of Computation
34 Journal de Théorie des Nombres de Bordeaux
29 International Journal of Number Theory
24 Experimental Mathematics
17 Journal of Algebra
15 LMS Journal of Computation and Mathematics
12 Proceedings of the Japan Academy. Series A
12 Transactions of the American Mathematical Society
12 Journal of Symbolic Computation
11 Duke Mathematical Journal
10 Rocky Mountain Journal of Mathematics
9 Research in Number Theory
8 Acta Arithmetica
8 Archiv der Mathematik
8 Manuscripta Mathematica
8 Proceedings of the American Mathematical Society
7 Mathematische Annalen
6 Compositio Mathematica
6 Journal für die Reine und Angewandte Mathematik
5 Analysis Mathematica
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Functiones et Approximatio. Commentarii Mathematici
5 Journal of Pure and Applied Algebra
5 Mathematische Zeitschrift
4 Annales de l’Institut Fourier
4 The Ramanujan Journal
4 Annals of Mathematics. Second Series
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Bulletin of the Australian Mathematical Society
3 Inventiones Mathematicae
3 Proceedings of the London Mathematical Society. Third Series
3 Acta Mathematica Hungarica
3 Bulletin of the American Mathematical Society. New Series
3 Indagationes Mathematicae. New Series
3 Journal of the European Mathematical Society (JEMS)
2 Advances in Mathematics
2 Glasgow Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Journal of the Mathematical Society of Japan
2 Results in Mathematics
2 Semigroup Forum
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Journal of the Ramanujan Mathematical Society
2 Science in China. Series A
2 International Journal of Algebra and Computation
2 Glasnik Matematički. Serija III
2 Journal of Algebraic Geometry
2 Finite Fields and their Applications
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Journal of Homotopy and Related Structures
2 Journal of Computational and Engineering Mathematics
1 International Journal of Modern Physics A
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of Functional Analysis
1 Journal of Geometry
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Revista Matemática Iberoamericana
1 Facta Universitatis. Series Mathematics and Informatics
1 SIAM Journal on Matrix Analysis and Applications
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 ETNA. Electronic Transactions on Numerical Analysis
1 Selecta Mathematica. New Series
1 Annals of Mathematics and Artificial Intelligence
1 Documenta Mathematica
1 Journal of Mathematical Chemistry
1 Transformation Groups
1 Journal for Geometry and Graphics
1 Geometry & Topology
1 Journal of Group Theory
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications of the Korean Mathematical Society
1 Journal of High Energy Physics
...and 17 more Serials
all top 5

Cited in 43 Fields

482 Number theory (11-XX)
183 Algebraic geometry (14-XX)
21 Group theory and generalizations (20-XX)
16 Computer science (68-XX)
12 Dynamical systems and ergodic theory (37-XX)
10 Field theory and polynomials (12-XX)
9 Manifolds and cell complexes (57-XX)
6 Commutative algebra (13-XX)
6 Associative rings and algebras (16-XX)
6 Numerical analysis (65-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Convex and discrete geometry (52-XX)
4 Combinatorics (05-XX)
4 Nonassociative rings and algebras (17-XX)
4 \(K\)-theory (19-XX)
4 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Geometry (51-XX)
3 Topological groups, Lie groups (22-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year