Abstract
We study when Hurwitz curves are supersingular. Specifically, we show that the curve , with and relatively prime, is supersingular over the finite field if and only if there exists an integer such that . If this holds, we prove that it is also true that the curve is maximal over . Further, we provide a complete table of supersingular Hurwitz curves of genus less than 5 for characteristic less than 37.
Citation
Erin Dawson. Henry Frauenhoff. Michael Lynch. Amethyst Price. Seamus Somerstep. Eric Work. Dean Bisogno. Rachel Pries. "The supersingularity of Hurwitz curves." Involve 12 (8) 1293 - 1306, 2019. https://doi.org/10.2140/involve.2019.12.1293
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