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
收藏
页码：6 / 13
页数：8
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