Modularity of some elliptic curves over totally real fields

Bao V. Le Hung

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arXiv · 1309.4134

Modularity of some elliptic curves over totally real fields

Bao V. Le Hung

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Abstract

We investigate modularity of elliptic curves over a general totally real number field, establishing a finiteness result for the set non-modular $j$-invariants. By analyzing quadratic points on some modular curves, we show that all elliptic curves over certain real quadratic fields are modular.

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Bao V. Le Hung. 2013-09-16. Modularity of some elliptic curves over totally real fields. https://arxiv.org/abs/1309.4134

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