Elliptic curves over real quadratic fields are modular

Nuno Freitas; Bao V. Le Hung; Samir Siksek

doi:10.1007/s00222-014-0550-z

Elliptic curves over real quadratic fields are modular

Nuno Freitas, Bao V. Le Hung, Samir Siksek^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

79 Scopus citations

Abstract

We prove that all elliptic curves defined over real quadratic fields are modular.

Original language	English (US)
Pages (from-to)	159-206
Number of pages	48
Journal	Inventiones Mathematicae
Volume	201
Issue number	1
DOIs	https://doi.org/10.1007/s00222-014-0550-z
State	Published - Nov 4 2015

Funding

The first-named author is supported through a Grant within the framework of the DFG Priority Programme 1489 Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory. The third-named author is supported by an EPSRC Leadership Fellowship EP/G007268/1, and EPSRC LMF: L-Functions and Modular Forms Programme Grant EP/K034383/1.

Keywords

Primary 11F80
Secondary 11G05

ASJC Scopus subject areas

General Mathematics

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10.1007/s00222-014-0550-z

Cite this

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Elliptic curves over real quadratic fields are modular

Abstract

Funding

Keywords

ASJC Scopus subject areas

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