Singular units and isogenies between CM elliptic curves

被引：4

作者：

Li, Yingkun ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

COMPOSITIO MATHEMATICA | 2021年 / 157卷 / 05期

关键词：

singular moduli; higher Green' s function; EISENSTEIN SERIES; HEEGNER POINTS; DERIVATIVES; MODULI; FORMS;

D O I：

10.1112/S0010437X21007077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we will apply the results of Gross-Zagier, Gross-Kohnen-Zagier and their generalizations to give a short proof that the differences of singular moduli are not units. As a consequence, we obtain a result on isogenies between reductions of CM elliptic curves.

引用

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页码：1022 / 1035

页数：14

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