Genus 0 Modular curves of prime power level with a point defined over number fields other than \Q

2022/08/04 by Rakvi
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2208.02452

Abstract

Associated to an open subgroup G of \GL₂(\Zhat) satisfying conditions -I ∈ G and det(G) \subsetneq (\Zhat)^× there is a modular curve X_G which is a smooth compact curve defined over an extension of \Q. In this article, we give a complete list of all such prime power level genus 0 modular curves with a point.

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