Legendre polynomials and complex multiplication, II: class numbers of quadratic fields and genus 2 supersingular polynomials

Andrew Karl, Patrick Morton

The factorizations over ${\mathbb{F}}_p$ of two supersingular polynomials $h_p(x)$ and $g_p(x)$ for genus $2$ curves, discussed by Ibukiyama, Katsura and Oort in their 1986 paper, ar…