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An Example of Finding All of the Points on a Specific Curve Over a Family of Quadratic Fields

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title
An Example of Finding All of the Points on a Specific Curve Over a Family of Quadratic Fields
author
Lee, Ariella
abstract
We find the $K$-points on the curve\begin{align*}X\colon\begin{cases}y^{2}z=x^{3}-2xz^{2}\\w^{2}z=-4x^{2}y-4xyz-y^{3}\end{cases}\end{align*}in which $K=\Q(\sqrt{-p})$ for some prime $p\equiv3\pmod{8}$.
contributor
Rouse, Jeremy (committee chair)
Raynor, Sarah (committee member)
Moore, Frank (committee member)
date
2021-06-03T08:36:16Z (accessioned)
2021 (issued)
degree
Mathematics and Statistics (discipline)
embargo
2026-06-01 (terms)
2026-06-01 (liftdate)
identifier
http://hdl.handle.net/10339/98825 (uri)
language
en (iso)
publisher
Wake Forest University
type
Thesis

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