Cyclicity of Elliptic Curves Modulo Primes in arithmetic progressions

Published 17 Apr 2019 in math.NT | (1904.08296v2)

Abstract: We consider the reduction of an elliptic curve defined over the rational numbers modulo primes in a given arithmetic progression and investigate how often the subgroup of rational points of this reduced curve is cyclic as a special case of Serre's Cyclicity Conjecture.

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