On the rank of elliptic curves arising from Pythagorean quadruplets

Arman Shamsi Zargar

Source record

Source: Crossref

Published: Mar 1, 2020

DOI: 10.2996/kmj/1584345690

Open original source ↗

Source abstract

By a Pythagorean quadruplet $(a,b,c,d)$ , we mean an integer solution to the quadratic equation $a^2 + b^2 = c^2 + d^2$ . We use this notion to construct infinite families of elliptic curves of higher rank as far as possible. Furthermore, we give particular examples of rank eight.

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.

On the rank of elliptic curves arising from Pythagorean quadruplets — Mathematical Frontier Network