Computing models for quotients of modular curves

被引：0
作者：
Josha Box
机构：
[1] University of Warwick Coventry,
来源：
Research in Number Theory | 2021年 / 7卷
关键词：
Modular curves; Modular forms; Algorithms;
D O I：
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摘要：
We describe an algorithm for computing a Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Q}}$$\end{document}-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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