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arXiv · 1611.05258

Elliptic curves in isogeny classes

Igor E. Shparlinski·Liangyi Zhao
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Abstract

We show that the distribution of elliptic curves in isogeny classes of curves with a given value of the Frobenius trace $t$ becomes close to uniform even when $t$ is averaged over very short intervals inside the Hasse-Weil interval.

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Igor E. Shparlinski, Liangyi Zhao. 2016-11-16. Elliptic curves in isogeny classes. https://arxiv.org/abs/1611.05258

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