Yıldırım, AkbalGüloğlu, Ahmet M.2022-04-272022-04-272021-05-030008-414Xhttp://hdl.handle.net/11693/78160We 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.EnglishCyclicity conjectureReduction of elliptic curves modulo primesPrimes in arithmetic progressionsChebotarev density theoremArticle10.4153/S0008414X210002371496-4279