Debopam Chakraborty

activity

20182026

collaborators

4 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

Some bi-quadratic Pólya fields and large Pólya groups of compositum of simplest cubic and quintic fields

Md. Imdadul Islam, Debopam Chakraborty, Jaitra Chattopadhyay

The Pólya group $P o (K)$ of an algebraic number field $K$ is the subgroup of the ideal class group $C l_{K}$ generated by the ideal classes of the products of prime ideals of the sam…

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…

math.NT2018

On a conjecture Mordell

Debopam Chakraborty, Anupam Saikia

A conjecture of Mordell states that if $p$ is a prime and $p$ is congruent to $3$ mod $4$ , then $p$ does not divide $y$ where $(x, y)$ is the fundamental solution to $x^{2}-py^{2}=1…

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

Some bi-quadratic Pólya fields and large Pólya groups of compositum of simplest cubic and quintic fields

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

On a conjecture Mordell

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