Arithmetic of Elliptic Curves
نویسنده
چکیده
Our research focuses on 9 specific elliptic curves E over Q, each with complex multiplication by the maximal order in an imaginary quadratic field. Viewed over C, each E gives rise to tori, defined by the generators ω1, ω2 ∈ C of the period lattice. Using SAGE, information and characteristics about the curves and their tori were calculated and compiled. Additionally, the tori were virtually constructed using 3D modeling software. These virtual meshes were converted to G-Code and printed on an Ultimaker2 3D printer.
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