The distribution and density of cyclic groups of the reductions of an\n elliptic curve over a function field

2016/09/20 by Márton Erdélyi, Erdélyi, Márton
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paper · pdf · doi:10.48550/arxiv.1609.06066

openalex publication_date 2016/09/20 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Let K be a global field of finite characteristic p\≥2, and let E/K be\na non-isotrivial elliptic curve. We give an asympotoic formula of the number of\nplaces \ν for which the reduction of E at \ν is a cyclic group.\nMoreover we determine when the Dirichlet density of those places is 0.\n

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