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Comptes Rendus Mathématique
Volume 353, n° 1
pages 1-4 (janvier 2015)
Doi : 10.1016/j.crma.2014.10.006
Received : 17 July 2014 ;  accepted : 10 October 2014
Base change for elliptic curves over real quadratic fields
Changement de base pour les courbes elliptiques sur les corps quadratiques réels
 

Luis Dieulefait 1 , Nuno Freitas 2
 Mathematisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany 

Abstract

Let E be an elliptic curve over a real quadratic field K and   a totally real finite Galois extension. We prove that   is modular.

The full text of this article is available in PDF format.
Résumé

Soit E une courbe elliptique sur un corps quadratique réel K et   une extension totalement réele, finie et galoisienne. On demontre que   est modulaire.

The full text of this article is available in PDF format.
1  The first-named author was supported by the MICINN Grant MTM2012-33830 and ICREA Academia Research Prize.
2  The second-named author was supported through a grant within the framework of the DFG Priority Programme 1489 Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory (grant number Sto 299/11-1).


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