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.
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页码：96 / 114
页数：19
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