B. Savoie

activity

20242026

collaborators

4 papers

math.NT2026

Infinitely many elliptic curves over $Q (i)$ of exact ranks 4 and 6 with $j$ -invariant 1728

Ben Savoie

For each $r \in {4, 6}$ , we construct an explicit one-parameter family of elliptic curves over $Q (i)$ containing infinitely many pairwise nonisomorphic curves genuinely def…

math.NT2025

Infinitely many elliptic curves over $Q (i)$ with rank 2 and $j$ -invariant 1728

Ben Savoie

We prove that there exist infinitely many elliptic curves over $Q (i)$ with $j$ -invariant $1728$ and rank exactly $2$ which are not obtained by base change from $\mathbb{Q}…

math.NT2024

A graph-theoretic approach to computing Selmer groups of elliptic curves $y^{2} = x^{3} + b x$ over $Q (i)$

Anthony Kling, Ben Savoie

We develop a graph-theoretic algorithm to compute the $φ$ -Selmer group of the elliptic curve $E_{b} : y^{2} = x^{3} + b x$ over $Q (i)$ , where $b \in Z [i]$ and $φ$ is a de…

math.NT2024

Non-generic components of the Emerton-Gee stack for $GL_{2}$

Kalyani Kansal, Ben Savoie

Let $K$ be a finite unramified extension of $Q_{p}$ with $p > 3$ . We study the extremely non--generic irreducible components in the reduced part of the Emerton--Gee stack fo…

Infinitely many elliptic curves over Q(i) of exact ranks 4 and 6 with j-invariant 1728

Infinitely many elliptic curves over Q(i) with rank 2 and j-invariant 1728

A graph-theoretic approach to computing Selmer groups of elliptic curves y2=x3+bx over Q(i)

Non-generic components of the Emerton-Gee stack for GL2​

Infinitely many elliptic curves over $Q (i)$ of exact ranks 4 and 6 with $j$ -invariant 1728

Infinitely many elliptic curves over $Q (i)$ with rank 2 and $j$ -invariant 1728

A graph-theoretic approach to computing Selmer groups of elliptic curves $y^{2} = x^{3} + b x$ over $Q (i)$

Non-generic components of the Emerton-Gee stack for $GL_{2}$