Double covers of Cartan modular curves

被引：4

作者：

Dose, Valerio ^{[1
]}

Mercuri, Pietro ^{[2
]}

Stirpe, Claudio ^{[3
]}

机构：

[1] LUISS Guido Carli, Dipartimento Econ & Finanza, Viale Romania 32, I-00197 Rome, Italy

[2] Sapienza Univ Roma, Via Antonio Scarpa 10, I-00161 Rome, Italy

[3] Convitto Nazl Regina Margherita, Piazza Ruggero Bonghi 2, I-03012 Anagni, FR, Italy

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 195卷

关键词：

Modular curves; Double covers; Elliptic curves; Galois representations; Modular forms;

D O I：

10.1016/j.jnt.2018.05.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a strategy to obtain explicit equations for the modular double covers associated respectively to both a split and a non-split Cartan subgroup of GL(2)(F-p) with p prime. Then we apply it successfully to the level 13 case. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：96 / 114

页数：19

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