Mingjie Chen

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math.NT2022

On $F_{p}$ -roots of the Hilbert class polynomial modulo $p$

Mingjie Chen, Jiangwei Xue

The Hilbert class polynomial $H_{O} (x) \in Z [x]$ attached to an order $O$ in an imaginary quadratic field $K$ is the monic polynomial whose roots are pr…

math.NT2021

Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6

Nikola Adžaga, Vishal Arul, Lea Beneish +4

We use the method of quadratic Chabauty on the quotients $X_{0}^{+} (N)$ of modular curves $X_{0} (N)$ by their Fricke involutions to provably compute all the rational points of these curv…

On Fp​-roots of the Hilbert class polynomial modulo p

Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6

On $F_{p}$ -roots of the Hilbert class polynomial modulo $p$