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arXiv · 1007.4725

Borne uniforme pour les homoth\'eties dans l'image de Galois associ\'ee aux courbes elliptiques

Agnès David
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Abstract

Let K be a fixed number field and G its absolute Galois group. We give a bound C(K), depending only on the degree, the class number and the discriminant of K, such that for any elliptic curve E defined over K and any prime number p strictly larger than C(K), the image of the representation of G attached to the p-torsion points of E contains a subgroup of homotheties of index smaller than 12.

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Agnès David. 2010-07-27. Borne uniforme pour les homoth\'eties dans l'image de Galois associ\'ee aux courbes elliptiques. https://arxiv.org/abs/1007.4725

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