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    A new family of elliptic curves with positive ranks arising from the Heron triangles

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    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 kk. It turned out that the torsion groups of this family are of the form Z2ZĂ—Z2Z\frac{\Bbb{Z}}{2\Bbb{Z}}\times \frac{\Bbb{Z}}{2\Bbb{Z}} and also the rank is positive
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