Date of Award

5-8-2012

Document Type

Thesis

Degree Name

Bachelor of Arts

First Advisor

Holdener, Judy

Abstract

An elliptic curve is the set of zeros of a non-singular cubic polynomial in x and y. Throughout this paper, we will consider cubics with rational coefficients because our overarching goal is to describe the rational points on elliptic curves. To do this, we impose a group structure on the curve. The properties of this group will be the focus of the rest of this paper.

Comments

Includes bibliographical references (p. 38)

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