Jaitra Chattopadhyay

activity

20182026

collaborators

22 papers

math.GM2026

Representation of similar triangles in $R^{3}$

Jaitra Chattopadhyay, Siddhartha Sankar Chattopadhyay

In 1994, Dhar and Sinha provided a graphic representation in $R^{2}$ of the classification of triangles based on similarity. In this article, we briefly recall their treat…

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.NT2024

Bi-quadratic Pólya fields with five distinct ramified primes

Md. Imdadul Islam, Jaitra Chattopadhyay, Debopam Chakraborty

For an algebraic number field $K$ , the Pólya group of $K$ , denoted by $P o (K),$ is the subgroup of the ideal class group $C l_{K}$ generated by the ideal classes of the products of p…

math.NT2023

Large Pólya groups in simplest cubic fields and consecutive bi-qaudratic fields

Md. Imdadul Islam, Jaitra Chattopadhyay, Debopam Chakraborty

The Pólya group of an algebraic number field is the subgroup generated by the ideal classes of the products of prime ideals of equal norm inside the ideal class group. Inspired by…