Families of elliptic curves with rational 3-torsion

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 curves, and a new family we call generalized DIK curves. We find the number of -isogeny classes of each family, as well as the number of -iso...

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Bibliographic Details
Main Authors: Moody Dustin, Wu Hongfeng
Format: Article
Language:English
Published: De Gruyter 2012-02-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2011-0013