Heron triangles and their elliptic curves

Heron triangles and their elliptic curves

In geometry, a Heron triangle is a triangle with rational side lengths and integral area. We investigate Heron triangles and their elliptic curves. In particular, we provide some new results concerning Heron triangles and give elementary proofs for some results concerning Heronian elliptic curves.

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Veröffentlicht in:Journal of number theory 2020-08, Vol.213, p.232-253
Hauptverfasser: Halbeisen, Lorenz, Hungerbühler, Norbert
Format: Artikel
Sprache:eng
Schlagworte:
Congruent numbers
Heron triangles
Heronian elliptic curves
Mathematics
Physical Sciences
Science & Technology
θ-triangles
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container_title Journal of number theory
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creator Halbeisen, Lorenz
Hungerbühler, Norbert
description In geometry, a Heron triangle is a triangle with rational side lengths and integral area. We investigate Heron triangles and their elliptic curves. In particular, we provide some new results concerning Heron triangles and give elementary proofs for some results concerning Heronian elliptic curves.
doi_str_mv 10.1016/j.jnt.2019.12.005
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subjects Congruent numbers
Heron triangles
Heronian elliptic curves
Mathematics
Physical Sciences
Science & Technology
θ-triangles
title Heron triangles and their elliptic curves
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