Can I read On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples on EtoBox?

On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples by Izadi, F. A.; Nabardi, K.; Khoshnam, Foad is a scholarly article available to read on EtoBox.

What is On a Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples about?

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 $(a,b,c)$ and then construct this family of elliptic curves. It turn out that this new family have positive ranks and search for the upper bound for their ranks.

Author

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

Published

2010

Language

EN