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.
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页码：1969 / 1991
页数：23
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