Rational points on X0+(125)

被引：1
|
作者：
Arul, Vishal
Mueller, J. Steffen [1 ,2 ]
机构：
[1] Imperial Coll London, Dept Math, London, England
[2] Univ Groningen, Bernoulli Inst, Nijenborgh 9, NL-9747 AG Groningen, Netherlands
来源：
EXPOSITIONES MATHEMATICAE | 2023年 / 41卷 / 03期
关键词：
Modular curves; Rational points; Non-abelian Chabauty; CHABAUTY; MAP;
D O I：
10.1016/j.exmath.2023.02.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the rational points on the Atkin-Lehner quotient X0E (125) using the quadratic Chabauty method. Our work completes the study of exceptional rational points on the curves X0E (N) of genus between 2 and 6. Together with the work of several authors, this completes the proof of a conjecture of Galbraith. (c) 2023 The Author(s). Published by Elsevier GmbH. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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页码：709 / 717
页数：9
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