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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.NT2012
Character sums determined by low degree isogenies of elliptic curves
Dustin Moody, Christopher Rasmussen
We consider character sums determined by isogenies of elliptic curves over finite fields. We prove a congruence condition for character sums attached to arbitrary cyclic isogenies,…
math.NT2012
Class Numbers via 3-Isogenies and Elliptic Surfaces
Cam McLeman, Dustin Moody
We show that a character sum attached to a family of 3-isogenies defined on the fibers of a certain elliptic surface over relates to the class number of the quadrati…