2 papers
math.NT2026
Rank of elliptic curves and class groups of real quadratic fields
Kalyan Banerjee
In this paper, we are going to prove the relation between rank of elliptic curves and the non-triviality of class groups of infinitely many real quadratic fields.
math.NT2025
Nagell-Lutz Theorem for Imaginary Quadratic Fields and class groups of quadratic fields
Leena Mondal, Amrutha Chalil, Kalyan Banerjee
We prove the Nagell-Lutz theorem for the imaginary quadratic fields of class number one.