E ISSN: 2583-049X
logo

International Journal of Advanced Multidisciplinary Research and Studies

Volume 2, Issue 5, 2022

An Example of an Elliptic Curve with High Rank Induced by Rational Diophantine Triples



Author(s): Salih Topcu, Banu Irez Aydin, Ilker Inam

Abstract:

In this paper, we give a certain example of an elliptic curve induced by rational Diophantine triples which has rank 4 following Andrej Dujella and Juan Carlos Peral's construction. After specifying the curve, we will write four infinite order independent rational points on the elliptic curve which shows that the rank is exactly four. Lastly, we will give some properties of the curve. Here we don't promise any new result and this work is a part of the first author's master thesis.


Keywords: Elliptic Curves, Rank, Torsion Subgroup, Diophantine Triples

Pages: 430-431

Download Full Article: Click Here