On a simple model of X0 (N)

被引：0

作者：

Kodrnja, Iva ^{[1
]}

机构：

[1] Univ Zagreb, Fac Civil Engn, Kaciceva 26, Zagreb 10000, Croatia

来源：

MONATSHEFTE FUR MATHEMATIK | 2018年 / 186卷 / 04期

关键词：

Modular forms; Modular curves; Birational equivalence; Modular polynomial; MODULAR-CURVES; GENERATORS; EQUATIONS; SPACES; FORMS; MAPS; P-2;

D O I：

10.1007/s00605-018-1161-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find plane models for all , . We observe a map from the modular curve to the projective plane constructed using modular forms of weight 12 for the group ; the Ramanujan function , and the third power of Eisestein series of weight 4, , and prove that this map is birational equivalence for every . The equation of the model is the minimal polynomial of over C(j).

引用

页码：653 / 661

页数：9

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