Computing integral points on Xns+(p)

Aurélien Bajolet, Yuri Bilu, Benjamin Matschke

Type: Article

Publication Date: 2021-05-20

Citations: 3

DOI: https://doi.org/10.2140/ant.2021.15.569

Abstract

We develop a general method for computing integral points on modular curves, based on Baker's inequality.As an illustration, we show that for 11 ≤ p < 101, the only integral points on the curve X + ns (p) are the CM points.

Locations

Algebra & Number Theory - View
arXiv (Cornell University) - View - PDF
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Works Cited by This (46)

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+ PDF Chat	Rational points on X_0^+ (p^r )	2013	Yuri Bilu Pierre Parent Marusia Rebolledo
+ PDF Chat	p-adic logarithmic forms and group varieties II	1999	Kunrui Yu
+ PDF Chat	Lectures on the Mordell-Weil Theorem	1989	Jean-Pierre Serre
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington
+ PDF Chat	Thue equations with composite fields	1999	Yuri Bilu Guillaume Hanrot
+ PDF Chat	None	1998	Yuri Bilu Guillaume Hanrot
+	Zum Beweise des Starkschen Satzes	1968	Carl Ludwig Siegel
+ PDF Chat	Real cyclotomic fields of prime conductor and their class numbers	2015	John C. Miller
+	A note on the integral points of a modular curve of level 7	1985	M. A. Kenku
+	A modular curve of level 9 and the class number one problem	2008	Burcu Baran