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

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

2007-01-30

arxiv.org/abs/math/0701882v1

Mathematics

Number Theory

Scientific paper

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.

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