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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122997We 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.Number Theory11G05; 11G07Local torsion on elliptic curves and the deformation theory of Galois representationstext