The Interesting
I like that elliptic curves make it possible to use smaller prime numbers. It's fun learning how to use the Diffie-Hellman and ElGamal methods applied in a new way.
The Challenging
What does "analog" mean? Does it mean that it's basically the same idea? My other question is less related to the reading and more related to this information in general. How do we do these types of things in Sage? I've looked at the sheet you put up and I remember that you did it a really cool way in class, but could you consider showing us again?