Tools for visualizing and implementing elliptic curve cryptography

I need to create a program which will show how elliptic curve cryptography works. I was considering using Java Swing to create the GUI, but the main problem is what tool to use to plot the elliptic curve itself, and how to integrate that with Java Swing.

I would like the plot to be included in the user interface and also allow changes to be made t开发者_运维问答o it. Can you suggest any tools that would help with this?

The quickest way to get pixels on screen (and still leverage your Java experience) is to use Processing.

You might also consider the Java Function Plotting Library as well.