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Rational points on $X^+_0(125)$

Vishal ArulJ. Steffen M\"uller
May 2022
摘要
We compute the rational points on the Atkin-Lehner quotient $X^+_0(125)$using the quadratic Chabauty method. Our work completes the study ofexceptional 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 aconjecture of Galbraith.
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