MODULAR FORMS INVARIANT UNDER NON-SPLIT CARTAN SUBGROUPS

被引：6

作者：

Mercuri, Pietro ^{[1
]}

Schoof, Rene ^{[1
]}

机构：

[1] 2A Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

MATHEMATICS OF COMPUTATION | 2020年 / 89卷 / 324期

关键词：

RATIONAL-POINTS; CURVES;

D O I：

10.1090/mcom/3503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we describe a method for computing a basis for the space of weight 2 cusp forms invariant under a non-split Cartan subgroup of prime level p. As an application we compute, for certain small values of p, explicit equations over Q for the canonical embeddings of the associated modular curves.

引用

页码：1969 / 1991

页数：23

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