Abstract
By a Pythagorean quadruplet $(a,b,c,d)$, we mean an integer solution to the quadratic equation $a^2 + b^2 = c^2 + d^2$. We use this notion to construct infinite families of elliptic curves of higher rank as far as possible. Furthermore, we give particular examples of rank eight.
Citation
Arman Shamsi Zargar. "On the rank of elliptic curves arising from Pythagorean quadruplets." Kodai Math. J. 43 (1) 129 - 142, March 2020. https://doi.org/10.2996/kmj/1584345690
