Modularity of some elliptic curves over totally real fields

Published 16 Sep 2013 in math.NT | (1309.4134v1)

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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Authors (1)

Bao V. Le Hung

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