Rang de courbes elliptiques d'invariant donne
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
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 with invariant equal at 0 (resp. 1728) and rank >=6 (resp. >=4).
Cite
@article{arxiv.alg-geom/9206007,
title = {Rang de courbes elliptiques d'invariant donne},
author = {Jean-Francois Mestre},
journal= {arXiv preprint arXiv:alg-geom/9206007},
year = {2008}
}
Comments
4 pages. (A paraitre aux Comptes-Rendus de l'Acad. des Sc. de Paris.)