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https://hdl.handle.net/2142/86961
Description
Title
Families of Rank Zero Twists of Elliptic Curves
Author(s)
Iskra, Boris
Issue Date
1998
Doctoral Committee Chair(s)
Boston, Nigel
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
The objective of this thesis is to generalize this result to a bigger class of elliptic curves. We are going to generalize Serf's result to the family of elliptic curves with full 2-torsion, i.e. elliptic curves of the form $E:y\sp2 = (x-e\sb1)(x-e\sb2)(x-e\sb3)$ with $e\sb{i}\in\doubz.$ We can also assume that $e\sb1 = 0$ and that $e\sb2$ and $e\sb3$ are both odd.
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