小次数数域上椭圆曲线的扭点
数论
2023-03-29 v2 代数几何
摘要
我们确定了次数 为 、、 和 的数域 上椭圆曲线的 -有理点可能的素数阶集合 。
引用
@article{arxiv.1707.00364,
title = {Torsion points on elliptic curves over number fields of small degree},
author = {Maarten Derickx and Sheldon Kamienny and William Stein and Michael Stoll},
journal= {arXiv preprint arXiv:1707.00364},
year = {2023}
}
备注
v2: Paper almost completely rewritten; exact determination of S(7) is new; added classification of elliptic curves over sextic fields with a point of order 37