Rang de courbes elliptiques d'invariant donne

Details Rang de courbes elliptiques d'invariant donne Rang de courbes elliptiques d'invariant donne

1992-06-16

arxiv.org/abs/alg-geom/9206007v1

Mathematics

Algebraic Geometry

4 pages. (A paraitre aux Comptes-Rendus de l'Acad. des Sc. de Paris.)

Scientific paper

We prove that there exist infinitely many elliptic curves over \Q with given
modular invariant, and rank >=2. Furthermore, there exist infinitely many
elliptic curves over $\Q$ with invariant equal at 0 (resp. 1728) and rank >=6
(resp. >=4).

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