On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples

F. A. Izadi, K. Nabardi, Foad Khoshnam

The aim of this paper is to introduce a new family of elliptic curves in the form of $y^2=x(x-a^2)(x-b^2)$ that have positive ranks. We first generate a list of pythagorean triples…