Triangles with three rational medians.
type: Item
instance of: scholarly article
title: Triangles with three rational medians.
zbMATH Open document ID: 1037.11020
author: Ralph H. Buchholz
published in: Journal of Number Theory
publication date: 2003-04-02T00:00:00Z
review text: A characterization of all rational-sided triangles with three rational medians is presented. It turns out that they each correspond to a point on the one-parameter family of elliptic curves. It is possible to show that the rank of this family is at least two and, in fact, some reasonably high rank curves appear among them.
Mathematics Subject Classification ID: 11D25
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 1891431
zbMATH Keywords: rational-sided triangles
zbMATH Keywords: elliptic curves
reviewed by: Edward L. Cohen
MaRDI profile type: Publication
full work available at URL: jnth.2002.2777
OpenAlex ID: W2092295047
cites work: On triangles with rational altitudes, angle bisectors or medians
cites work: Q5582375
cites work: Q3710637
cites work: Q4004187
DOI: 10.1006/JNTH.2002.2777
description: scientific article; zbMATH DE number 1891431