Pankaj Patel

collaborators

2 papers

math.NT2026

Two infinite families of elliptic curves with Mordell-Weil rank at least $3$

Pankaj Patel, Debopam Chakraborty, Jaitra Chattopadhyay

In this paper, we consider two infinite parametric families of elliptic curves defined over $Q$ given by the equations $E_{a, b} : y^{2} = x^{3} - a^{2} x + b^{2}$ and $E^{\…

math.NT2025

On the Mordell-Weil rank and $2$ -Selmer group of a family of elliptic curves

Pankaj Patel, Debopam Chakraborty, Jaitra Chattopadhyay

We consider the parametric family of elliptic curves over $Q$ of the form $E_{m} : y^{2} = x (x - n_{1}) (x - n_{2}) + t^{2}$ , where $n_{1}$ , $n_{2}$ and $t$ are particular…

Two infinite families of elliptic curves with Mordell-Weil rank at least 3

On the Mordell-Weil rank and 2-Selmer group of a family of elliptic curves

Two infinite families of elliptic curves with Mordell-Weil rank at least $3$

On the Mordell-Weil rank and $2$ -Selmer group of a family of elliptic curves