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

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

2010-12-28

arxiv.org/abs/1012.5835v1

Mathematics

Number Theory

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A new family of elliptic curves with positive ranks arising from the Heron triangles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A new family of elliptic curves with positive ranks arising from the Heron triangles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new family of elliptic curves with positive ranks arising from the Heron triangles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610007