Quasi-modular forms attached to elliptic curves: Hecke operators

被引：2

作者：

Movasati, Hossein ^{[1
]}

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 157卷

关键词：

Quasi-modular forms; Hecke operators;

D O I：

10.1016/j.jnt.2015.05.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we describe Hecke operators on the differential algebra of geometric quasi-modular forms. As an application for each natural number d we construct a vector field in six dimensions which determines uniquely the polynomial relations between the Eisenstein series of weight 2, 4 and 6 and their transformation under multiplication of the argument by d, and in particular, it determines uniquely the modular curve of degree d isogenies between elliptic curves. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：424 / 441

页数：18

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