COMPUTING POINTS ON BIELLIPTIC MODULAR CURVES OVER FIXED QUADRATIC FIELDS

被引：0

作者：

Michaud-Jacobs, Philippe ^{[1
]}

机构：

[1] Univ Warwick, Coventry CV4 7AL, England

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

modular curve; quadratic point; elliptic curve; Mordell-Weil sieve;

D O I：

10.1017/S0004972723000333

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a Mordell-Weil sieve that can be used to compute points on certain bielliptic modular curves V X-0(N) over fixed quadratic fields. We study X-0(N)(Q( vd)) for N ? {53, 61, 65, 79, 83, 89, 101, 131} and |d| < 100.

引用

页码：6 / 13

页数：8

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