Mohamed Kamel

activity

20162022

most citedBielliptic quotient modular curves of

X_{0} (N)

5 citations · 6 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.NT2022★ 5 cited

Bielliptic quotient modular curves of $X_{0} (N)$

Francesc Bars, Mohamed Kamel, Andreas Schweizer

Let $N \geq 1$ be a non-square free integer and let $W_{N}$ be a non-trivial subgroup of the group of the Atkin-Lehner involutions of $X_{0} (N)$ such that the modular curve $X_{0} (N) / W_{N}$ …

math.NT2018

Sequences of consecutive squares on quartic elliptic curves

Mohammad Sadek, Mohamed Kamel

Let $C : y^{2} = a x^{4} + b x^{2} + c$ , be an elliptic curve defined over $Q$ . A set of rational points $(x_{i}, y_{i}) \in C (Q)$ , $i = 1, 2, \dots,$ is said to be a sequence of consecut…

math.NT2016★ 1 cited

On sequences of consecutive squares on elliptic curves

Mohamed Kamel, Mohammad Sadek

Let $C$ be an elliptic curve defined over $Q$ by the equation $y^{2} = x^{3} + A x + B$ where $A, B \in Q$ . A sequence of rational points $(x_i,y_i)\in C(\mathbb Q),\,i=1,2,\ldot…

Bielliptic quotient modular curves of X0​(N)

Sequences of consecutive squares on quartic elliptic curves

On sequences of consecutive squares on elliptic curves

Bielliptic quotient modular curves of $X_{0} (N)$