Edwards curves are curves of the form x^2 + y^2 = 1 + dx^2y^2. Edwards curves often find their use in cryptographic applications due to the computational advantages they provide but in this thesis...Show moreEdwards curves are curves of the form x^2 + y^2 = 1 + dx^2y^2. Edwards curves often find their use in cryptographic applications due to the computational advantages they provide but in this thesis we focus on their geometric and arithmetic properties.Show less