Arkabrata Ghosh

activity

20242026

most citedOn the Family of Elliptic Curves

y^{2} = x^{3} - 5 pq x

1 citations · 1 across the 8 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.NT2026

Classification of the rank of a certain family of elliptic curves

Arkabrata Ghosh, Bidisha Roy, Richa Sharma

In this article, we study the family of elliptic curves $E_{- 2 pq} : y^{2} = x^{3} - 2 pq x$ , where $p$ and $q$ are distinct odd primes. Using a $2$ -isogeny methods and some elementary techniq…

math.NT2026

Exact classification of elliptic curves $y^{2} = x^{3} - pq x$ with rank $0$ and trivial $\Sha[2]$

Arkabrata Ghosh, Paul M. Voutier

For the elliptic curves $E_{p, q} : y^{2} = x^{3} - pq x$ where $p$ and $q$ are distinct odd primes, we establish necessary and sufficient conditions under which rank$\,E_{p,q}(\mathbb{Q}…

Classification of the rank of a certain family of elliptic curves

Exact classification of elliptic curves y2=x3−pqx with rank 0 and trivial $\Sha[2]$

Exact classification of elliptic curves $y^{2} = x^{3} - pq x$ with rank $0$ and trivial $\Sha[2]$