Mohammad Sadek

collaborators

5 papers

math.NT2026

Quadratic torsion orders on Jacobian varieties

Hamide Suluyer, Mohammad Sadek

We establish the existence of hyperelliptic curves of genus $g \geq 2$ defined over $Q$ whose Jacobians possess rational torsion points of order $N$ where $N = 4 g^{2} + 2 g - 2$ or $…

math.NT2026

Rational Preperiodic Points of Quadratic Rational Maps over $Q$ with Nonabelian Automorphism Groups

Hasan Bilgili, Mohammad Sadek

Let $f : P^{1} \to P^{1}$ be a quadratic rational map defined over the rational field $Q$ with nonabelian automorphism group. We prove that no such map has a $\m…

math.NT2026

Rational torsion on hyperelliptic jacobian varieties

Hamide Suluyer, Mohammad Sadek

It was conjectured by Flynn that there exists a constant $I^º$ such that, for any integer $g \geq 2$ , any $m \leq I^º g$ , there exists a hyperelliptic curve of genus $g$ over $\mathbb Q…

math.NT2025

Families of twists of tuples of hyperelliptic curves

Beyza MevlÃ¼de Amir, Mohammad Sadek, Nermine El-Sissi

Let $f \in Q [x]$ be a square-free polynomial of degree at least $3$ , $m_{i}$ , $i = 1, 2, 3$ , odd positive integers, and $a_{i}$ , $i = 1, 2, 3$ , non-zero rational numbers. We show the e…

math.NT2025

On Torsion Subgroups of Elliptic Curves over Quartic, Quintic and Sextic Number Fields

Mustafa Umut KazancÄ±oÄlu, Mohammad Sadek

The list of all groups that can appear as torsion subgroups of elliptic curves over number fields of degree $d$ , $d = 4, 5, 6$ , is not completely determined. However, the list of group…

Quadratic torsion orders on Jacobian varieties

Rational Preperiodic Points of Quadratic Rational Maps over Q with Nonabelian Automorphism Groups

Rational torsion on hyperelliptic jacobian varieties

Families of twists of tuples of hyperelliptic curves

On Torsion Subgroups of Elliptic Curves over Quartic, Quintic and Sextic Number Fields

Rational Preperiodic Points of Quadratic Rational Maps over $Q$ with Nonabelian Automorphism Groups