On some congruence properties of elliptic curves

被引：0

作者：

Qiu, Derong ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Inst Math & Interdisciplinary Sci, Beijing 100048, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2010年 / 94卷 / 02期

关键词：

Elliptic curve; Supersingular prime; Congruence property; Number field; Finite field;

D O I：

10.1007/s00013-009-0100-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, as a consequence of a theorem of Serre on congruence properties of elliptic curves, a complete solution (see Theorem 2.1) is given for an open question (i.e., the KKP question) presented recently by Kim, Koo, and Park. Some partial results for the KKP question of S-type are obtained (see Theorem 3.1 and Corollary 3.2). Several further related questions are also presented and discussed.

引用

页码：139 / 145

页数：7

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