birthday pressie extraordinaire

Wow - a symmetrical object named after me!
Suddenly life is worth living again.
(Poo has gone and I'm sad)
So, my group corresponds to an elliptic curve of conductor 672,
being The Vanilla Beer Group Set [C[1], C[2], C[3], C[4]]=[0,4, 0, 7]

Yeah OK I'm baffled too. See

 http://www.firstgiving.com/findingmoonshine