J. Morrow

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math.NT2024

Towards a classification of entanglements of Galois representations attached to elliptic curves

Harris B. Daniels, Ãlvaro Lozano-Robledo, Jackson S. Morrow

Let $E / Q$ be an elliptic curve, let $Q$ be a fixed algebraic closure of $Q$ , and let $G_{\mathbb{Q}}=\text{Gal}(\overline{\mathbb{Q}}/\mathbb{…

math.NT2024

Sporadic Cubic Torsion

Maarten Derickx, Anastassia Etropolski, Mark van Hoeij +2

Let $K$ be a number field, and let $E / K$ be an elliptic curve over $K$ . The Mordell--Weil theorem asserts that the $K$ -rational points $E (K)$ of $E$ form a finitely generated abeli…