Elliptic curves in isogeny classes

被引：5

作者：

Shparlinski, Igor E. ^{[1
]}

Zhao, Liangyi ^{[1
]}

机构：

[1] Univ New South Wales, Dept Pure Math, Sydney, NSW 2052, Australia

来源：

JOURNAL OF NUMBER THEORY | 2018年 / 191卷

基金：

澳大利亚研究理事会;

关键词：

Elliptic curves; Isogeny classes; Class number; SQUARE MODULI; PRIME FIELD; LARGE SIEVE; POINTS; NUMBER;

D O I：

10.1016/j.jnt.2018.04.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the distribution of elliptic curves in isogeny classes of curves with a given value of the Frobenius trace t becomes close to uniform even when t is averaged over very short intervals inside the Hasse-Weil interval. This result is based on a new form of the large sieve inequality for sparse sequences. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：194 / 212

页数：19

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