This repository contains the paper, poster, images, and 3d modeling files from my research and learning project on elliptic curves. I completed this project with James
Duncan under the guidance of Cara Mullen (PhD) and Professor Alina Cojocaru (PhD).

Our research focuses on elliptic curves \(E\) over \(\mathbb{Q}\) with complex
multiplication (by the maximal order of an imaginary quadratic
field). Viewed over \(\mathbb{C}\), each \(E\) gives rise to two tori, defined by
the generators \(\omega_1\) and \(\omega_2\) of the period lattice. These tori can be
constructed virtually into a 3D mesh. Further, this mesh can be
translated into gcode and printed using a 3D printer.