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Publication Citation: Character sums determined by low degree isogenies of elliptic curves

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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
Research Areas: Math