GONALITY OF THE MODULAR CURVE X0(N)

被引：1

作者：

Najman, Filip ^{[1
]}

Orlic, Petar ^{[1
]}

机构：

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

来源：

MATHEMATICS OF COMPUTATION | 2023年

关键词：

Modular curves; gonality; ELLIPTIC-CURVES; TORSION; POINTS; FIELDS; SPACES;

D O I：

10.1090/mcom/3873

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we determine the Q-gonalities of the modular curves X0(N) for all N < 145. We determine the C-gonality of many of these curves and the Q-gonalities and C-gonalities for many larger values of N. Using these results and some further work, we determine all the modular curves X0(N) of gonality 4, 5 and 6 over Q. We also find the first known instances of pentagonal curves X0(N) over C.

引用

页码：863 / 886

页数：24

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