Geodesic
Cyclicity of elliptic curves modulo primes in arithmetic progressions
Canadian journal of mathematics, Tome 74 (2022) no. 5, pp. 1277-1309

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DOI

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.
DOI : 10.4153/S0008414X21000237
Mots-clés : Cyclicity conjecture, reduction of elliptic curves modulo primes, primes in arithmetic progressions, Chebotarev density theorem 
Akbal, Yıldırım; Güloğlu, Ahmet M. Cyclicity of elliptic curves modulo primes in arithmetic progressions. Canadian journal of mathematics, Tome 74 (2022) no. 5, pp. 1277-1309. doi: 10.4153/S0008414X21000237
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     title = {Cyclicity of elliptic curves modulo primes in arithmetic progressions},
     journal = {Canadian journal of mathematics},
     pages = {1277--1309},
     year = {2022},
     volume = {74},
     number = {5},
     doi = {10.4153/S0008414X21000237},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000237/}
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