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Local torsion on elliptic curves and the deformation theory of Galois representations
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math.NT
keywords
curvesdeformationellipticgaloisrepresentationstheoryapplicationsaverage
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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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