S. Sankar

most citedCounting elliptic curves with a rational

N

-isogeny for small

N

3 citations · 3 across the 1 of their papers we have counts for

collaborators

2 papers

math.NT2020★ 3 cited

Counting elliptic curves with a rational $N$ -isogeny for small $N$

Brandon Boggess, Soumya Sankar

We count the number of rational elliptic curves of bounded naive height that have a rational $N$ -isogeny, for $N \in {2, 3, 4, 5, 6, 8, 9, 12, 16, 18}$ . For some $N$ , this is done by gene…

math.NT2019

Proportion of ordinarity in some families of curves over finite fields

Soumya Sankar

A curve over a field of characteristic $p$ is called ordinary if the $p$ -torsion of its Jacobian as large as possible, that is, an $F_{p}$ vector space of dimension equal to…

Counting elliptic curves with a rational N-isogeny for small N

Proportion of ordinarity in some families of curves over finite fields

Counting elliptic curves with a rational $N$ -isogeny for small $N$