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.

中文翻译：

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等差数列中椭圆曲线模素数的循环性

我们考虑在给定的算术级数中定义在有理数模素数上的椭圆曲线的归约，并研究这条归约曲线的有理点子群的循环频率。