Elliptic curves coming from Heron triangles
From MaRDI portal
Publication:470395
DOI10.1216/RMJ-2014-44-4-1145zbMath1305.14017OpenAlexW1973470723WikidataQ57595824 ScholiaQ57595824MaRDI QIDQ470395
Juan Carlos Peral, Andrej Dujella
Publication date: 12 November 2014
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1414760946
Related Items (10)
Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter ⋮ A Heron triangle and a Diophantine equation ⋮ Spherical Heron triangles and elliptic curves ⋮ PERFECT TRIANGLES ON THE CURVE ⋮ On certain Diophantine equations of the form \(z^2=f(x)^2\pm g(y)^2\) ⋮ On rational triangles via algebraic curves ⋮ On Ceva points of (almost) equilateral triangles ⋮ Families of elliptic curves of rank \(\geq 5\) over \(\mathbb Q(t)\) ⋮ Heron triangles with two rational medians and Somos-5 sequences ⋮ Construction of an infinite family of elliptic curves of 2-Selmer rank 1 from Heron triangles
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An elliptic \(K3\) surface associated to Heron triangles
- An example of elliptic curve over \(\mathbb{Q}\) with rank \(\geq 20\)
- Rational triangles with equal area
- Diophantine \(m\)-tuples and elliptic curves
- On the rank of elliptic curves coming from rational Diophantine triples
- Heron triangles via elliptic curves
- On Rational Triangles
- An Infinite Set of Heron Triangles with Two Rational Medians
- A remark on the injectivity of the specialization homomorphism
- High-rank elliptic curves with torsion induced by Diophantine triples
- Sums of two biquadrates and elliptic curves of rank $\geq 4$
- On Mordell-Weil groups of elliptic curves induced by Diophantine triples
- Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points
This page was built for publication: Elliptic curves coming from Heron triangles
