Local torsion on elliptic curves and the deformation theory of galois representations

C David
T Weston, University of Massachusetts - Amherst

Article comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.mathjournals.org/mrl/2008-015-003/2008-015-003-017.html

Abstract

We prove that, on average, elliptic curves over Q have finitely many primes p for which they possess a p-adic point of order p. We include a discussion of applications to companion forms and the deformation theory of Galois representations.