Number of general Jacobi quartic curves over finite fields

Mathematics – Algebraic Geometry

Scientific paper

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11 pages

Scientific paper

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

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