论文标题
$ x^+_ 0(125)$的理性点
Rational points on $X^+_0(125)$
论文作者
论文摘要
我们使用二次chabauty方法计算Atkin-Lehner商$ x^+_ 0(125)$上的理性点。我们的工作完成了对2至6之间的曲线$ x^+_ 0(n)$的特殊理性点的研究。与几位作者的工作一起,这完成了Galbraith的猜想的证明。
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.