Elliptic curves over are modular
Jack A. Thorne
University of Cambridge, UK
![Elliptic curves over $\mathbb{Q}_\infty$ are modular cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-21-issue-7.png&w=3840&q=90)
Abstract
We show that if is a prime, then all elliptic curves defined over the cyclotomic -extension of are modular.
Cite this article
Jack A. Thorne, Elliptic curves over are modular. J. Eur. Math. Soc. 21 (2019), no. 7, pp. 1943–1948
DOI 10.4171/JEMS/877