Rang de courbes elliptiques d'invariant donne
Abstract
Description
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).
4 pages. (A paraitre aux Comptes-Rendus de l'Acad. des Sc. de Paris.)
4 pages. (A paraitre aux Comptes-Rendus de l'Acad. des Sc. de Paris.)