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

[31] Intermediate modular curves with infinitely many cubic points over Q
Dalal, Tarun
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (03) : 701 - 713
[32] The cuspidal class number formula for the modular curves X1(2p)
Takagi, Toshikazu
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2012, 64 (01) : 23 - 85
[33] Integral Points on the Elliptic Curve y2 = x3-4p2x
Yang, Hai
Fu, Ruiqin
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2019, 69 (03) : 853 - 862
[34] Equations and rational points of the modular curves X0+(p)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X_0^+(p)$$\end{document}
Pietro Mercuri
The Ramanujan Journal, 2018, 47 (2) : 291 - 308
[35] Integral Points on the Elliptic Curve y2 = x3 − 4p2x
Hai Yang
Ruiqin Fu
Czechoslovak Mathematical Journal, 2019, 69 : 853 - 862
[36] Bielliptic and hyperelliptic modular curves X(N) and the group Aut(X(N))
Bars, Francesc
Kontogeorgis, Aristides
Xarles, Xavier
ACTA ARITHMETICA, 2013, 161 (03) : 283 - 299
[37] TETRAGONAL MODULAR CURVES X-1(M, N)
Jeon, Daeyeol
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (03): : 343 - 348
[38] On Integral Points on Biquadratic Curves and Near-Multiples of Squares in Lucas Sequences
Alekseyev, Max A.
Tengely, Szabolcs
JOURNAL OF INTEGER SEQUENCES, 2014, 17 (06)
[39] A Note on the Rational Points of X0+(N)
Castano-Bernard, Carlos
EXPERIMENTAL MATHEMATICS, 2009, 18 (02) : 129 - 135
[40] Rational points on X0+(37M)
Arai, Keisuke
Momose, Fumiyuki
JOURNAL OF NUMBER THEORY, 2010, 130 (10) : 2272 - 2282

← 1 2 3 4 5 →