Guanju Xiao

collaborators

3 papers

math.NT2025

Endomorphism Rings of Supersingular Elliptic Curves and Ternary Quadratic Forms

Guanju Xiao, Zijian Zhou, Longjiang Qu

Let $c < 3 p /16$ be a prime or $c = 1$ . Let $E$ be a $Z [- c p]$ -oriented supersingular elliptic curve defined over $F_{p^{2}}$ . There exists a $c$ -isogeny from $E$ …

math.NT2024

Oriented Supersingular Elliptic Curves and Eichler Orders

Guanju Xiao, Zijian Zhou, Longjiang Qu

Let $p > 3$ be a prime and $E$ be a supersingular elliptic curve defined over $F_{p^{2}}$ . Let $c$ be a prime with $c < 3 p /16$ and $G$ be a subgroup of $E [c]$ of order $c$ . Th…

math.NT2024

The Endomorphism Rings of Supersingular Elliptic Curves over $F_{p}$ 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 $Gal (F_{p^{2}} / F_{p})$ and type classes of…

Endomorphism Rings of Supersingular Elliptic Curves and Ternary Quadratic Forms

Oriented Supersingular Elliptic Curves and Eichler Orders

The Endomorphism Rings of Supersingular Elliptic Curves over Fp​ and the Binary Quadratic Forms

The Endomorphism Rings of Supersingular Elliptic Curves over $F_{p}$ and the Binary Quadratic Forms