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
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