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Journal ArticleDOI

Sur les représentations modulaires de degré 2 de Gal(Q¯/Q)

Jean-Pierre Serre
- 01 Jan 1987 - 
- Vol. 54, Iss: 1, pp 179-230
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This article is published in Duke Mathematical Journal.The article was published on 1987-01-01. It has received 513 citations till now.

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Book

The Arithmetic of Elliptic Curves

TL;DR: It is shown here how Elliptic Curves over Finite Fields, Local Fields, and Global Fields affect the geometry of the elliptic curves.
Book

A First Course in Modular Forms

TL;DR: Modular forms, elliptic curves, and modular curves as Riemann surfaces have been used to define the Eichler-Shimura Relation and L-functions.
Journal ArticleDOI

On the Modularity of Elliptic Curves Over Q: Wild 3-Adic Exercises

TL;DR: In this article, the following two theorems were proved: if E/Q is an elliptic curve, then E is modular and if E is an irreducible continuous representation with cyclotomic determinant, then ρ is modular.
Book

Elliptic Curves: Number Theory and Cryptography

TL;DR: This book discusses Elliptic Curve Cryptography, a Cryptosystem Based on Factoring and its Applications, and some of the techniques used to develop such systems.
Journal ArticleDOI

On modular representations of\((\bar Q/Q)\) arising from modular forms

TL;DR: In this paper, it was shown that a matrix p(c) has eigenvalues + 1, 1, where c is a complex conjugation in the Galois group GaI (t)p/Qp.
References
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Journal ArticleDOI

Modular curves and the Eisenstein ideal

TL;DR: In this paper, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Good reduction of abelian varieties

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