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.

引用

页数：34

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