Rakvi

collaborators

3 papers

math.NT2026

The possible adelic indices for elliptic curves admitting a rational cyclic isogeny

Kate Finnerty, Tyler Genao, Jacob Mayle +1

In the 1970s, Serre proved that the adelic index of a non-CM elliptic curve over a number field is finite. More recently, Zywina conjectured the complete set of adelic indices for…

math.NT2026

Modular curves of prime-power level with infinitely many quadratic points

Michael Cerchia, Rakvi

We completely determine the $1085$ open subgroups $H$ of $GL_{2} (Z)$ of prime-power level that satisfy $- I \in H$ and $\operatorname{det}(H)=\wideha…

math.NT2025

On possibilities of 3-adic Galois images associated to isogeny-torsion graphs

Rakvi

Let $E$ be a non CM elliptic curve defined over $\Q$. There is an isogeny-torsion graph associated to $E$ and there is also a Galois representation $Ï_{E,l^{\infty}} \colon \Gal(\…