Integral points on the modular curves X0(p)

被引：1

作者：

Cai, Yulin ^{[1
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, 351 Cours Liberat, F-33405 Talence, France

来源：

JOURNAL OF NUMBER THEORY | 2021年 / 221卷

关键词：

Integral point; Modular curve; Etale morphism; Chevalley-Weil principle;

D O I：

10.1016/j.jnt.2020.06.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give an explicit bound for the height of integral points on X-0(p) by using a very explicit version of the Chevalley-Weil principle. We improve the bound given by Sha in [12]. (c) 2020 Published by Elsevier Inc.

引用

页码：211 / 221

页数：11

共 50 条

[1] Trigonal modular curves X0*(N)
Hasegawa, Y
Shimura, M
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2000, 76 (06) : 83 - 86
[2] BIELLIPTIC QUOTIENT MODULAR CURVES OF X0(N)
Bars, Francesc
Kamel, Mohamed
Schweizer, Andreas
MATHEMATICS OF COMPUTATION, 2023, 92 (340) : 895 - 929
[3] Equations and rational points of the modular curves X0+ (p)
Mercuri, Pietro
RAMANUJAN JOURNAL, 2018, 47 (02) : 291 - 308
[4] A modular description of X0(n)
Cesnavicius, Kestutis
ALGEBRA & NUMBER THEORY, 2017, 11 (09) : 2001 - 2089
[5] Bounding the j-invariant of integral points on certain modular curves
Sha, Min
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (06) : 1545 - 1551
[6] A short remark on Weierstrass points at infinity on X0(N)
Kohnen, W
MONATSHEFTE FUR MATHEMATIK, 2004, 143 (02): : 163 - 167
[7] The cuspidal class number formula for certain quotient curves of the modular curve X0(M) by Atkin-Lehner involutions
Takagi, Toshikazu
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2010, 62 (01) : 13 - 47
[8] Bielliptic modular curves X0+(N)
Jeon, Daeyeol
JOURNAL OF NUMBER THEORY, 2018, 185 : 319 - 338
[9] On the components of X0(pn)
Coleman, RF
JOURNAL OF NUMBER THEORY, 2005, 110 (01) : 3 - 21
[10] Torsion points on modular curves
Matthew H. Baker
Inventiones mathematicae, 2000, 140 : 487 - 509

← 1 2 3 4 5 →