Cyclicity of elliptic curves modulo primes in arithmetic progressions
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge Univ Press
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.
Description
Keywords
Cyclicity conjecture, reduction of elliptic curves modulo primes, primes in arithmetic progressions, Chebotarev density theorem
Turkish CoHE Thesis Center URL
Citation
1
WoS Q
Q3
Scopus Q
Q2
Source
Volume
74
Issue
5
Start Page
1277
End Page
1309