Modularity of some elliptic curves over totally real fields

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.

Bibliographische Detailangaben

1. Verfasser:	Hung, Bao V. Le
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Number Theory
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