五次和六次数域上椭圆曲线的挠子群
Torsion subgroups of elliptic curves over quintic and sextic number fields
摘要：
令$Φ^\infty(d)$表示有限阿贝尔群的集合，这些阿贝尔群作为$d$度数域上椭圆曲线的挠子群无限频繁地出现。集合$Φ^\infty(d)$对于$d\le 4$是已知的。本文测定了$Φ^\infty(5)$和$Φ^\infty(6)$。
英文摘要：
Let $Φ^\infty(d)$ denote the set of finite abelian groups that occur infinitely often as the torsion subgroup of an elliptic curve over a number field of degree $d$. The sets $Φ^\infty(d)$ are known for $d\le 4$. In this article we determine $Φ^\infty(5)$ and $Φ^\infty(6)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
