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|Author(s):||Dustin Moody; Christopher Rasmussen;|
|Title:||Character sums determined by low degree isogenies of elliptic curves|
|Published:||July 25, 2013|
|Abstract:||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 <= 8.|
|Citation:||Rocky Mountain Journal of Mathematics|
|Keywords:||Elliptic curves, Isogenies, Character sums|