The Endomorphism Rings of Supersingular Elliptic Curves over ${\mathbb{F}}_p$ and the Binary Quadratic Forms

Guanju Xiao, Zijian Zhou, Yingpu Deng +1

It is well known that there is a one-to-one correspondence between supersingular $j$-invariants up to the action of $\text{Gal}({\mathbb{F}}_{p^2}/{\mathbb{F}}_p)$ and type classes of…