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.NT2017

Torsion subgroups of rational elliptic curves over the compositum of all $D_{4}$ extensions of the rational numbers

Harris B. Daniels

Let $E / Q$ be an elliptic curve and let $Q (D_{4}^{\infty})$ be the compositum of all extensions of $Q$ whose Galois closure has Galois group isomorphic to a q…

math.NT2017

Bounds of the rank of the Mordell-Weil group of jacobians of hyperelliptic curves

Harris B. Daniels, Álvaro Lozano-Robledo, Erik Wallace

In this article we extend work of Shanks and Washington on cyclic extensions, and elliptic curves associated to the simplest cubic fields. In particular, we give families of exampl…

Torsion subgroups of rational elliptic curves over the compositum of all D4​ extensions of the rational numbers

Bounds of the rank of the Mordell-Weil group of jacobians of hyperelliptic curves

Torsion subgroups of rational elliptic curves over the compositum of all $D_{4}$ extensions of the rational numbers