Harris B. Daniels

activity

20152021

most citedTorsion subgroups of rational elliptic curves over the compositum of all cubic fields

19 citations · 45 across the 10 of their papers we have counts for

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math.NT2015★ 19 cited

Torsion subgroups of rational elliptic curves over the compositum of all cubic fields

Harris B. Daniels, Alvaro Lozano-Robledo, Filip Najman +1

Let $E / Q$ be an elliptic curve and let $Q (3^{\infty})$ be the compositum of all cubic extensions of $Q$ . In this article we show that the torsion subgroup…

math.NT2015

Elliptic curves with maximally disjoint division fields

Harris B. Daniels, Jeffrey Hatley, James Ricci

One of the many interesting algebraic objects associated to a given rational elliptic curve, $E$ , is its full-torsion representation $ρ_E:\mathrm{Gal}(\bar{\mathbf{Q}}/\mathbf{Q})\…