Base change for Elliptic Curves over Real Quadratic Fields
Number Theory
2014-10-15 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1402.6232,
title = {Base change for Elliptic Curves over Real Quadratic Fields},
author = {Luis Dieulefait and Nuno Freitas},
journal= {arXiv preprint arXiv:1402.6232},
year = {2014}
}
Comments
added a short proof of Proposition 2.1 and a few more small changes to improve readability