Date of Award
Bachelor of Arts
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.
Moore, Katherine, "An Introduction to Elliptic Curves and Mordell's Theorem" (2012). Honors Theses. 70.