Rakvi

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20212026

most citedA Classification of Genus 0 Modular Curves with Rational Points

2 citations · 2 across the 7 of their papers we have counts for

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math.NT2025

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.NT2025

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…