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Isomorphism Classes of Edwards Curves over Finite Fields
Published
Author(s)
Reza Farashahi, Dustin Moody, Hongfeng Wu
Abstract
Edwards curves are a new model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of F_q-isomorphism classes of Edwards curves and twisted Edwards curves. This answers a question recently asked by R. Farashahi and I. Shparlinski.
Farashahi, R.
, Moody, D.
and Wu, H.
(2012),
Isomorphism Classes of Edwards Curves over Finite Fields, Finite Fields and Their Applications, [online], https://doi.org/10.1016/j.ffa.2011.12.004, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=908630
(Accessed October 13, 2025)