The Supersingularity of Hurwitz Curves

Dean Bisogno, Erin Dawson, Henry Frauenhoff +5

We study when Hurwitz curves are supersingular. Specifically, we show that the curve $H_{n,\ell }:X^n{Y}^{\ell }+Y^n{Z}^{\ell }+Z^n{X}^{\ell }=0$, with $n$ and $\ell$ relatively prime, is s…