Modularity of elliptic curves over abelian totally real fields unramified at 3, 5, and 7

This version improves the old version entitled "On the modularity of elliptic curves with a residually irreducible representation". Let \(E\) be an elliptic curve over an abelian totally real field \(K\) unramified at 3,5, and 7. We prove that \(E\) is modular.

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Bibliographic Details
Published inarXiv.org
Main Author Yoshikawa, Sho
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 26.07.2016
Subjects
Curves
Mathematics - Number Theory
Modularity
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Summary:This version improves the old version entitled "On the modularity of elliptic curves with a residually irreducible representation". Let \(E\) be an elliptic curve over an abelian totally real field \(K\) unramified at 3,5, and 7. We prove that \(E\) is modular.
ISSN:2331-8422
DOI:10.48550/arxiv.1606.06597