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Search Publications by Dustin Moody

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Displaying 26 - 33 of 33

Class Numbers via 3-Isogenies and Elliptic Surfaces

Author(s)
Cam McLeman, Dustin Moody
We show that a character sum attached to a family of 3-isogenies defi ned on the fibers of a certain elliptic surface over Fp relates to the class number of the

Arithmetic Progressions on Huff Curves

Author(s)
Dustin Moody
We look at arithmetic progressions on elliptic curves known as Huff curves. By an arithmetic progression on an elliptic curve, we mean that either the x or y

Families of Elliptic Curves with Rational 3-torsion

Author(s)
Dustin Moody, Hongfeng Wu
In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian

Mean Value Formulas for Twisted Edwards Curves

Author(s)
Dustin Moody
R. Feng and H.Wu recently established a certain mean-value formula for the coordinates of the n-division points on an elliptic curve given inWeierstrass form (A

Division Polynomials for Jacobi Quartic Curves

Author(s)
Dustin Moody
In this paper we fi nd division polynomials for Jacobi quartics. These curves are an alternate model for elliptic curves to the more common Weierstrass nist

Arithmetic Progressions on Edwards Curves

Author(s)
Dustin Moody
We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the x-coordinates