Zheng Xu

activity

20192026

most citedNeighborhood of the supersingular elliptic curve isogeny graph at

j = 0

and

1728

1 citations · 1 across the 5 of their papers we have counts for

collaborators

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math.NT2026

Smoothness of Shortest Isogenies to Frobenius Conjugates

Yi Ouyang, Wei Wei, Zheng Xu

Let $E$ be chosen uniformly from the geometric isomorphism classes of supersingular elliptic curves over $F_{p}$ and $δ_{E}$ be the minimum degree of isogenies from…

math.NT2023

Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces

Zheng Xu, Yi Ouyang, Zijian Zhou

For two supersingular elliptic curves $E$ and $E^{'}$ defined over $F_{p^{2}}$ , let $[E \times E^{'}]$ be the superspecial abelian surface with the principal polarization $\{0\} \…

math.NT2019

Endomorphism rings of supersingular elliptic curves over $F_{p}$

Songsong Li, Yi Ouyang, Zheng Xu

Let $p > 3$ be a fixed prime. For a supersingular elliptic curve $E$ over $F_{p}$ with $j$ -invariant $j (E) \in F_{p} \ {0, 1728}$ , it is well known that the Fro…

math.NT2019★ 1 cited

Neighborhood of the supersingular elliptic curve isogeny graph at $j = 0$ and $1728$

Songsong Li, Yi Ouyang, Zheng Xu

We describe the neighborhood of the vertex $[E_{0}]$ (resp. $[E_{1728}]$ ) in the $ℓ$ -isogeny graph $G_{ℓ} (F_{p^{2}}, - 2 p)$ of supersingular elliptic curves over…

Smoothness of Shortest Isogenies to Frobenius Conjugates

Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces

Endomorphism rings of supersingular elliptic curves over Fp​

Neighborhood of the supersingular elliptic curve isogeny graph at j=0 and 1728

Endomorphism rings of supersingular elliptic curves over $F_{p}$

Neighborhood of the supersingular elliptic curve isogeny graph at $j = 0$ and $1728$