6 research outputs found
A new family of elliptic curves with positive ranks arising from the Heron triangles
The aim of this paper is to introduce a new family of elliptic curves with
positive ranks. These elliptic curves have been constructed with certain
rational numbers, namely a, b, and c as sides of Heron triangles having
rational areas . It turned out that the torsion groups of this family are of
the form and also the
rank is positive