Double covers of Cartan modular curves

JOURNAL OF NUMBER THEORY

卷:195

Article

Dose, Valerio¹  Mercuri, Pietro²  Stirpe, Claudio³ 

[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

关键词: Modular curves;    Double covers;    Elliptic curves;    Galois representations;    Modular forms;   

DOI  :  10.1016/j.jnt.2018.05.021

来源: Elsevier

【 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.

【 授权许可】

Free