Browsing Mathematics by Author "Stein, William"

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Arithmetic of Totally Split Modular Jacobians and Enumeration of Isogeny Classes of Prime Level Simple Modular Abelian Varieties

Lui, Kevin

In this thesis, we aim to give algorithms for computing two key invariants of the modular Jacobians $J_0(N)$. We first give methods for computing the rational torsion order of rank-0 Jacobians $J_0(N)$ that are isogenous ...
Shimura Degrees for Elliptic Curves over Number Fields

Deines, Alyson Laurene

A crowning achievement of Number theory in the 20th century is a theorem of Wiles which states that for an elliptic curve E over <bold>Q</bold> of conductor N, there is a non-constant map from the modular curve of level N ...