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Elliptic curves over Q$_{∞}$ are modular

Accepted version
Peer-reviewed

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Abstract

We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathbb{Z}$$_{p}$-extension of Q are modular.

Description

Journal Title

Journal of the European Mathematical Society

Conference Name

Journal ISSN

1435-9855
1435-9863

Volume Title

21

Publisher

European Mathematical Society Publishing House

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Sponsorship
This work was carried out while the author served as a Clay Research Fellow.