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math.NT2015
Heron Quadrilaterals via elliptic curves
Farzali Izadi, Foad Khoshnam, Dustin Moody
A Heron quadrilateral is a cyclic quadrilateral whose area and side lengths are rational. In this work, we establish a correspondence between Heron quadrilaterals and a family of e…
math.NT2015
Rank of elliptic curves associated to the Brahmagupta quadrilaterals
Farzali Izadi, Foad Khoshnam, Arman Shamsi Zargar
In this paper, we construct a family of elliptic curves of rank at least five. To do so, we use the Brahmagupta formula for the area of cyclic quadrilaterals no…