Rational points on X⁺₀(125)

2022/05/29 by Arul, Vishal, Müller, J. Steffen
#11g18 #11g30 #14g05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2205.14744

Abstract

We compute the rational points on the Atkin-Lehner quotient X⁺₀(125) using the quadratic Chabauty method. Our work completes the study of exceptional rational points on the curves X⁺₀(N) of genus between 2 and 6. Together with the work of several authors, this completes the proof of a conjecture of Galbraith.

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