Zeta-functions of curves of genus 3 over finite fields
The authors show that given three elliptic curves over a finite field satisfying certain conditions, their product is isogenous to the Jacobian of a curve of genus \(3\). As a consequence, there exists a maximal curve of genus \(3\) over the finite field \({\mathbb F}_{49}\).
scientific article; zbMATH DE number 5859396
scientific article