  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 $k$. It turned out that the torsion groups of this family are of
the form $\frac{\Bbb{Z}}{2\Bbb{Z}}\times \frac{\Bbb{Z}}{2\Bbb{Z}}$ and also the
rank is positive.
