Borne uniforme pour les homothéties dans l'image de Galois associée aux courbes elliptiques - Mathematics > Number TheoryReport as inadecuate




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Abstract: Let K be a fixed number field and G its absolute Galois group. We give abound CK, depending only on the degree, the class number and the discriminantof K, such that for any elliptic curve E defined over K and any prime number pstrictly larger than CK, the image of the representation of G attached to thep-torsion points of E contains a subgroup of homotheties of index smaller than12.



Author: Agnès David

Source: https://arxiv.org/







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