Rang de courbes elliptiques d'invariant donne
classification
alg-geom
math.AG
keywords
invariantcurvesellipticexistinfinitelymanyrankresp
read the original 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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