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.
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页数：24
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