Comptes Rendus
no. 1
Number theory
Base change for elliptic curves over real quadratic fields

Presented by: Jean-Pierre Serre

Luis Dieulefait1; Nuno Freitas1
1 Mathematisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany
Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 1-4.

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

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

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2014.10.006

Luis Dieulefait 1; Nuno Freitas 1

1 Mathematisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany 
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Luis Dieulefait; Nuno Freitas. Base change for elliptic curves over real quadratic fields. Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 1-4. doi : 10.1016/j.crma.2014.10.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.10.006/

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[3] N. Freitas; B.V. Le Hung; S. Siksek Elliptic curves over real quadratic fields are modular, Invent. Math. (2014) (in press) | DOI

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