Alexander J. Barrios

most citedExplicit classification of isogeny graphs of rational elliptic curves

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

collaborators

3 papers

math.CO2023

Symmetric tensor powers of graphs

Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul +5

The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor power…

math.NT2023

Reduced minimal models and torsion

Alexander J. Barrios

Let $E / Q$ be an elliptic curve. The reduced minimal model of $E$ is a global minimal model $y^{2} + a_{1} x y + a_{3} y = x^{3} + a_{2} x^{2} + a_{4} x + a_{6}$ which satisfies the additio…

math.NT2022★ 2 cited

Explicit classification of isogeny graphs of rational elliptic curves

Alexander J. Barrios

Let $n > 1$ be an integer such that $X_{0} (n)$ has genus $0$ , and let $K$ be a field of characteristic $0$ or relatively prime to $6 n$ . In this article, we explicitly…