## Cryptology ePrint Archive: Report 2010/020

Number of Jacobi quartic curves over finite fields

Rongquan Feng, Hongfeng Wu

Abstract: In this paper the number of $\overline{\mathbb{F}}_q$-isomorphism classes of Jacobi quartic curves, i.e., the number of Jacobi quartic curves with distinct $j$-invariants, over finite field $\mathbb{F}_q$ is enumerated.

Category / Keywords: Elliptic curves, Jacobi quartic curves, isomorphism classes, cryptography