Cyclicity of Elliptic Curves Modulo Primes in Arithmetic Progressions
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
Open Access Color
BRONZE
Green Open Access
Yes
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Publicly Funded
No
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Average
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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
Chebotarev density theorem., Cyclicity conjecture, primes in arithmetic progressions, reduction of elliptic curves modulo primes, Primes in arithmetic progressions, Chebotarev density theorem, Reduction of elliptic curves modulo primes, Cyclicity conjecture, reduction of elliptic curves modulo primes, cyclicity conjecture, Primes in congruence classes, primes in arithmetic progressions, Density theorems, Elliptic curves over global fields, Applications of sieve methods, Asymptotic results on counting functions for algebraic and topological structures
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
2
Source
Canadian Journal of Mathematics
Volume
74
Issue
5
Start Page
1277
End Page
1309
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Citations
Scopus : 4
SCOPUS™ Citations
4
checked on Jan 27, 2026
Web of Science™ Citations
5
checked on Jan 27, 2026
Page Views
7
checked on Jan 27, 2026
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