Mohammad Sadek

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20202026

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math.NT2025

Families of twists of tuples of hyperelliptic curves

Beyza Mevlüde 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 Kazancıoğlu, 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…