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Torsion for CM Elliptic Curves Defined Over Number Fields of Degree 2p

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abstract
Let E be an elliptic curve with complex multiplication defined over a number field F of degree 2p for prime p>3.In this thesis, we completely classify the torsion subgroups that can arise for number fields of degree 2p for any prime p>3.
subject
Complex Multiplication
Elliptic Curves
Number Theory
Prime
contributor
Chaos, Holly Paige (author)
Bourdon, Abbey (committee chair)
Moore, Frank (committee member)
Rouse, Jeremy (committee member)
date
2020-05-29T08:36:13Z (accessioned)
2020-05-29T08:36:13Z (available)
2020 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/96860 (uri)
language
en (iso)
publisher
Wake Forest University
title
Torsion for CM Elliptic Curves Defined Over Number Fields of Degree 2p
type
Thesis

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