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On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

2001769 citationsJournal Articlebronze Open Access

Authors

Christophe Breuil · Université Paris-Sud

Brian Conrad · Harvard University

Fred Diamond · Brandeis University

Richard Taylor · Harvard University

Abstract

We complete the proof that every elliptic curve over the rational numbers is modular.

Topics & Keywords

Algebraic Geometry and Number Theory Analytic Number Theory Research Meromorphic and Entire Functions

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Journal of the American Mathematical Society

Volume 14, Issue 4, pp. 843-939

DOI: 10.1090/s0894-0347-01-00370-8

Field-Weighted Citation Impact: 42.29

On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises | Researchclopedia