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Abelian l-adic representations and elliptic curves by Jean Pierre Serre

Abelian l-adic representations and elliptic curves Jean Pierre Serre ebook
ISBN: 0201093847, 9780201093841
Publisher: Addison Wesley Publishing Company
Page: 203
Format: djvu

Arithmetic Moduli of Elliptic Curves . For an elliptic curve E/K and a prime l = char(K), the group Gal(¯K/K) acts on the l -adic Tate module. Tl(E) = This yields a group representation. For every prime l, consider the abelian l-adic representation. Abelian l - adic representations and elliptic curves . δH abelian all traces all n torsion/isogeny. E is an elliptic curve defined over a number field k and without CM over k then the image of the .. Abelian l-adic representations and elliptic curves, volume 7 of Research. Online First:10.1007/s00222-007-0106-6. Diannelecc Algorithms For Modular Elliptic Curves downloadsmodular forms and elliptic. Abelian l-adic representations and elliptic curves. Let E be an elliptic curve over a number field K such that E does not have complex .. Serre, Abelian l-adic representations and elliptic curves. We define the symmetric power L-functions of an elliptic curve E via. A K Peters Ltd., Wellesley, MA, 1998. A generalization to the case of modular abelian varieties with complex Keywords: p-adic L-functions, elliptic curves, rational points.