Arkabrata Ghosh

collaborators

3 papers

math.NT2025

Class groups of imaginary biquadratic fields

Kalyan Banerjee, Kalyan Chakraborty, Arkabrata Ghosh

We present two distinct families of imaginary biquadratic fields, each of which contains infinitely many members, with each member having large class groups. Construction of the fi…

math.NT2025

Rank of the family of elliptic curves $y^{2} = x^{3} - 5 p x$

Arkabrata Ghosh

This article considers the family of elliptic curves given by $E_{p} : y^{2} = x^{3} - 5 p x$ and certain conditions on an odd prime $p$ . More specifically, we have shown that if $p \equiv 7,…

math.NT2025

On the Family of Elliptic Curves $y^{2} = x^{3} - 5 pq x$

Arkabrata Ghosh

This article considers the family of elliptic curves given by $E_{pq} : y^{2} = x^{3} - 5 pq x$ and certain conditions on odd primed $p$ and $q$ . More specifically, we have proved that if $p…

Class groups of imaginary biquadratic fields

Rank of the family of elliptic curves y2=x3−5px

On the Family of Elliptic Curves y2=x3−5pqx

Rank of the family of elliptic curves $y^{2} = x^{3} - 5 p x$

On the Family of Elliptic Curves $y^{2} = x^{3} - 5 pq x$