Computing models for quotients of modular curves

被引：2
|
作者：
Box, Josha [1 ]
机构：
[1] Univ Warwick, Coventry, W Midlands, England
来源：
RESEARCH IN NUMBER THEORY | 2021年 / 7卷 / 03期
关键词：
Modular curves; Modular forms; Algorithms; ELLIPTIC-CURVES;
D O I：
10.1007/s40993-021-00276-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe an algorithm for computing a Q-rational model for the quotient of a modular curve by an automorphism group, under mild assumptions on the curve and the automorphisms, by determining q-expansions for a basis of the corresponding space of cusp forms. We also give a moduli interpretation for general morphisms between modular curves.
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页数：34
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