English

Elliptic Curves over Real Quadratic Fields are Modular

Number Theory 2014-07-21 v4

Abstract

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

Keywords

Cite

@article{arxiv.1310.7088,
  title  = {Elliptic Curves over Real Quadratic Fields are Modular},
  author = {Nuno Freitas and Bao V. Le Hung and Samir Siksek},
  journal= {arXiv preprint arXiv:1310.7088},
  year   = {2014}
}

Comments

38 pages. Magma scripts available as ancillary files with this arXiv version

R2 v1 2026-06-22T01:54:35.562Z