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Character sums determined by low degree isogenies of elliptic curves



Dustin Moody, Christopher Rasmussen


We look at certain character sums determined by isogenies on elliptic curves over finite fields. We prove a congruence condition for character sums attached to arbitrary cyclic isogenies, and produce explicit formulas for isogenies of degree m
Rocky Mountain Journal of Mathematics


Elliptic curves, Isogenies, Character sums
Created July 25, 2013, Updated February 19, 2017