Songsong Li

activity

20172021

most citedFactorization of Hilbert class polynomials over prime fields

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2021★ 1 cited

Factorization of Hilbert class polynomials over prime fields

Jianing Li, Songsong Li, Yi Ouyang

Let $D$ be a negative integer congruent to $0$ or $1 mod 4$ and $O = O_{D}$ be the corresponding order of $K = Q (D)$ . The Hilbert class polynomial…

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

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…

math.NT2017

Counting the solutions of $λ_{1} x_{1}^{k_{1}} + \dots + λ_{t} x_{t}^{k_{t}} \equiv c mod n$

Songsong Li, Yi Ouyang

Given a polynomial $Q (x_{1}, \dots, x_{t}) = λ_{1} x_{1}^{k_{1}} + \dots + λ_{t} x_{t}^{k_{t}}$ , for every $c \in Z$ and $n \geq 2$ , we study the number of solutions $N_{J} (Q; c, n)$ of the congrue…

Factorization of Hilbert class polynomials over prime fields

Endomorphism rings of supersingular elliptic curves over Fp​

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

Counting the solutions of λ1​x1k1​​+⋯+λt​xtkt​​≡cmodn

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

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

Counting the solutions of $λ_{1} x_{1}^{k_{1}} + \dots + λ_{t} x_{t}^{k_{t}} \equiv c mod n$