On the arithmetic of a family of superelliptic curves

Sarah Arpin, Richard Griffon, Libby Taylor +1

Let $p$ be a prime, let $r$ and $q$ be powers of $p$, and let $a$ and $b$ be relatively prime integers not divisible by $p$. Let $C/{\mathbb{F}}_r(t)$ be the superelliptic curve wit…