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Some computations with Hecke rings and deformation rings. With an appendix by Amod Agashe and William Stein. (English) Zbl 1116.11310

Summary: In the proof by Wiles, completed by Taylor-Wiles, of the fact that all semistable elliptic curves over \(\mathbb Q\) are modular, certain deformation rings play an important role. In this note, we explicitly compute these rings for the elliptic curve \(Y^2+XY=X^3-X^2-X-3\) of conductor 142.

MSC:

11F80 Galois representations
11F11 Holomorphic modular forms of integral weight
11F25 Hecke-Petersson operators, differential operators (one variable)

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References:

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