arXiv:1402.6232 Abstract | arXiv Analytics

Published 2014-02-25, updated 2014-10-14Version 3

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.

Comments: added a short proof of Proposition 2.1 and a few more small changes to improve readability

Categories: math.NT

Subjects: 11F80, 11G05

Keywords: real quadratic field, elliptic curve, base change, totally real finite galois extension

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