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Dissertation/Thesis Abstract

On the torsion structure of elliptic curves over cubic number fields
by Wang, Jian, Ph.D., University of Southern California, 2015, 63; 3722897
Abstract (Summary)

Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K) is finitely generated: E(K)E(K)tor × Zr. In this thesis, I will discuss the cyclic torsion subgroup of elliptic curves over cubic number fields. I obtained complete results in the prime power case and partial results in the composite case.

Indexing (document details)
Advisor: Kamienny, Sheldon
Commitee: Golubchik, Leana, Guralnick, Robert
School: University of Southern California
Department: Mathematics
School Location: United States -- California
Source: DAI-B 77/02(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Cubic fields, Elliptic curves, Modular curves, Torsion
Publication Number: 3722897
ISBN: 978-1-339-05309-7
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