Pratiksha Shingavekar

activity

20222025

most citedAn analogue of Kida's formula for elliptic curves with additive reduction

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

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math.NT2025

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning

Priyavrat Deshpande, Aditya Karnataki, Pratiksha Shingavekar

This article presents a comprehensive data-scientific investigation into the arithmetic statistics of congruent number elliptic curves, leveraging a dataset of square-free integers…

math.NT2025

$- 3$ -Selmer groups, ideal class groups and large $3$ -Selmer ranks

Somnath Jha, Dipramit Majumdar, Pratiksha Shingavekar

We consider the family of elliptic curves $E_{a, b} : y^{2} = x^{3} + a (x - b)^{2}$ with $a, b \in Z$ . These elliptic curves have a rational $3$ -isogeny, say $φ$ . We give an upper and a l…

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning

−3​-Selmer groups, ideal class groups and large 3-Selmer ranks

$- 3$ -Selmer groups, ideal class groups and large $3$ -Selmer ranks