Modular curves X0(N) with infinitely many quartic points

被引：0

作者：

Derickx, Maarten ^{[1
]}

Orlic, Petar ^{[1
]}

机构：

[1] Univ Zagreb, Bijenicka Cesta 30, Zagreb 10000, Croatia

来源：

RESEARCH IN NUMBER THEORY | 2024年 / 10卷 / 02期

关键词：

Modular curves; Tetragonal; Tetraelliptic; Quartic point; ELLIPTIC-CURVES; ABELIAN-VARIETIES; TORSION POINTS; SUBGROUPS;

D O I：

10.1007/s40993-024-00525-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine all modular curves X-0(N) with infinitely many quartic points. To do this, we define a pairing that induces a quadratic form representing all possible degrees of a rational morphism from X-0(N) to a positive rank elliptic curve.

引用

页数：24

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