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Rang de courbes elliptiques d'invariant donne

Jean-Francois Mestre
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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 $\Q$ with invariant equal at 0 (resp. 1728) and rank >=6 (resp. >=4).

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Jean-Francois Mestre. 1992-06-16. Rang de courbes elliptiques d'invariant donne. https://arxiv.org/abs/alg-geom/9206007

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