Maila Brucal-Hallare

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20182024

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math.NT2024

Prime isogenous discriminant ideal twins

Alexander J. Barrios, Maila Brucal-Hallare, Alyson Deines +2

Let $E_{1}$ and $E_{2}$ be elliptic curves defined over a number field $K$ . We say that $E_{1}$ and $E_{2}$ are discriminant ideal twins if they are not $K$ -isomorphic and have the…

math.NT2021

Solving Quadratic and Cubic Diophantine Equations using 2-adic Valuation Trees

Maila Brucal-Hallare, Eva G. Goedhart, Ryan Max Riley +2

For fixed integers $D \geq 0$ and $c \geq 3$ , we demonstrate how to use $2$ -adic valuation trees of sequences to analyze Diophantine equations of the form $x^{2} + D = 2^{c} y$ and $x^3+D=2…

math.NT2018

On the compatibility of Bézout coefficients between Pythagorean pairs under unimodular transformations

Cherng-tiao Perng, Maila Brucal-Hallare

In a recent preprint, Gullerud and Walker [2] proved a theorem and made a conjecture about the correctness of efficiently generating Bézout trees for Pythagorean pairs. In this not…