Local torsion on elliptic curves and the deformation theory of galois representations
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
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.
C David and T Weston. "Local torsion on elliptic curves and the deformation theory of galois representations" Mathematical Research Letters 15.2-3 (2008): 599-611.
Available at: http://works.bepress.com/tom_weston/2