English

Elliptic curves over $\mathbb{Q}_\infty$ are modular

Number Theory 2015-05-19 v1

Abstract

We show that if p is a prime, then all elliptic curves defined over the cyclotomic Z_p extension of Q are modular.

Keywords

Cite

@article{arxiv.1505.04769,
  title  = {Elliptic curves over $\mathbb{Q}_\infty$ are modular},
  author = {Jack A. Thorne},
  journal= {arXiv preprint arXiv:1505.04769},
  year   = {2015}
}
R2 v1 2026-06-22T09:36:38.175Z