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University of Illinois at Urbana-Champaign
Distribution of Selmer Groups of Quadratic Twists of a Family of Elliptic Curves
Abstract
dc:descriptionAs an most interesting example for the elliptic curve E n : y2 = x 3 - n2x, which is closely related with the congruent number problem, we study the distribution of the size of the six Selmer groups arising from the three 2-isogenies and their dual 2-isogenies. We also describe explicit formulas on the size of the six Selmer groups.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Xiong, Maosheng
- Contributors dc:contributor
-
- Zaharescu, Alexandru
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3290437
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86893