M. Sadek

activity

20102023

most citedMinimal Genus One Curves

5 citations · 16 across the 33 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NT2017

On large $F$ -Diophantine sets

Mohammad Sadek, Nermine El-Sissi

Let $F \in Z [x, y]$ and $m \geq 2$ be an integer. A set $A \subset Z$ is called an $(F, m)$ -Diophantine set if $F (a, b)$ is a perfect $m$ -power for any $a, b \in A$ where $a…

math.NT2017★ 2 cited

Counting elliptic curves with bad reduction over a prescribed set of primes

Mohammad Sadek

Let $p \geq 5$ be a prime and $T$ a Kodaira type of the special fiber of an elliptic curve. We estimate the number of elliptic curves over $Q$ up to height $X$ with Kodaira ty…

On large F-Diophantine sets

Counting elliptic curves with bad reduction over a prescribed set of primes

On large $F$ -Diophantine sets