Generalized twisted Edwards curves over finite fields and hypergeometric functions

Rupam Barman, Sipra Mairty, Sulakashna

Let ${\mathbb{F}}_q$ be a finite field with $q$ elements. For $a,b,c,d,e,f\in {\mathbb{F}}_q^{\times }$, denote by $C_{a,b,c,d,e,f}$ the family of algebraic curves over ${\mathbb{F}}_q$…