×

Elliptic curves with rank \(\geq 11\) over \(\mathbb Q(t)\). (Courbes elliptiques de rang \(\geq 11\) sur \(\mathbb Q(t)\).) (French) Zbl 0745.14013

The author constructs elliptic curves over \(\mathbb Q(t)\) with non-constant \(j\)-invariant such that the Mordell-Weil group of the curve has rank \(\geq 11\).

MSC:

11G05 Elliptic curves over global fields
14H52 Elliptic curves
11R58 Arithmetic theory of algebraic function fields
PDFBibTeX XMLCite