An Introduction to Elliptic Curves and Mordell's Theorem

Author

Katherine Moore, Kenyon College

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)

Recommended Citation

Moore, Katherine, "An Introduction to Elliptic Curves and Mordell's Theorem" (2012). Honors Theses. 70.
https://digital.kenyon.edu/honorstheses/70

Rights Statement

All rights reserved. This copy is provided to the Kenyon Community solely for individual academic use. For any other use, please contact the copyright holder for permission.