Cenk, MuratCenk, MuratÖzbudak, FerruhMatematik2024-03-212024-03-212007Cenk, Murat; Özbudak, Ferruh (2007). "Isomorphism classes of ordinary elliptic curves over fields of characteristic 3", Mathematical Methods in Engineering, pp. 151-158.https://hdl.handle.net/20.500.12416/7678Ordinary elliptic curves over fields of characteristic 3 can be represented by y 2 = x 3 + ax 2 + b where a, b ≠ 0 ∈ . In this paper we count the number of different isomorphism classes of ordinary elliptic curves over finite fields of characteristic three. We show there are (2q−2) different isomorphism classes.eninfo:eu-repo/semantics/closedAccessElliptic CurveElliptic CurfIsomorphism ClassElliptic Curve CryptographyDiscrete Logarithm ProblemArticle151158