Isomorphism classes of Edwards curves over finite fields

Reza Rezaeian Farashahi, Dustin Moody*, Hongfeng Wu

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

7 Citations (Scopus)


Edwards curves are an alternate 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.

Original languageEnglish
Pages (from-to)597-612
Number of pages16
JournalFinite Fields and their Applications
Issue number3
Publication statusPublished - May 2012


  • Cryptography
  • Edwards curve
  • Elliptic curve
  • Isomorphism classes


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