Hi Martin, Basically the module that I have written implements the Edwards model as an 'EdwardsCurve' class with an accompanying "EdwardsCurvePoint" class. For the methods that I have implemented, I have tried to mimic those in the Elliptic Curves library already in Sage. But I do not have different classes for the different types of base fields for it was not necessary for my work. Once I have added a patch and people feel that it would be better to have these classes, then we can easily do that too. Plus, I am also thinking of adding the documentation mimicking that for Elliptic Curves.
The main functions that I have implemented as of now are: 1. Point addition 2. Scalar multiplication 3. Additive order of the points 4. Returning random points on the curve 5. Returning the n-torsion subgroup given n 6. Returning all the points on the curve in the finite field setting 7. Returning the isomorphic Weierstrass model as an 'EllipticCurve' object These are my further plans: 1. Have a method to obtain an 'EdwardsCurve' given a Weierstrass curve, after the base field extension if necessary 2. Implement the analogues of Velu's formulae for computing an isogeny given the kernel generators Adarsh. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
