Publication: Modularity of some elliptic curves over totally real fields
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2014-06-06
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Le hung, Bao Viet. 2014. Modularity of some elliptic curves over totally real fields. Doctoral dissertation, Harvard University.
Abstract
In this thesis, 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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Mathematics, Number Theory
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