ON THE NUMBER OF ELLIPTIC CURVES WITH PRESCRIBED ISOGENY OR TORSION GROUP OVER NUMBER FIELDS OF PRIME DEGREE

被引：1

作者：

Najman, Filip ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

GLASGOW MATHEMATICAL JOURNAL | 2015年 / 57卷 / 02期

关键词：

QUADRATIC FIELDS; POINTS;

D O I：

10.1017/S0017089514000421

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime and K a number field of degree p. We determine the finiteness of the number of elliptic curves, up to (K) over bar -isomorphism, having a prescribed property, where this property is either that the curve contains a fixed torsion group as a subgroup or that it has a cyclic isogeny of prescribed degree.

引用

页码：465 / 473

页数：9

共 18 条

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