Cyclicity of Elliptic Curves Modulo Primes in arithmetic progressions
Number Theory
2020-05-29 v2
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.
Cite
@article{arxiv.1904.08296,
title = {Cyclicity of Elliptic Curves Modulo Primes in arithmetic progressions},
author = {Yildirim Akbal and Ahmet Muhtar Guloglu},
journal= {arXiv preprint arXiv:1904.08296},
year = {2020}
}