Hi Curves Fans, Elsewhere I have not seen a bi-rational shear transformation, which obtains the Jacobi Quartic from a plane cubic. Here's another video:
https://www.youtube.com/watch?v=FUw4LB5v4Os ...showing a continuous transformation which takes one line + one parabola into two parabolas. As a consequence, another addition rule exists aside from the one presented in "Jacobi Quartic Curves Revisited". Also, I see that Michael Naehrig keeps a list of songs ( https://cryptosith.org/music/index.shtml ) incidentally related to cryptography. I can't say that I understand any of the entries on this list, but would like to contribute another anyways: "A Lotus on Irish Streams" -- Mahavishnu Orchestra, Inner Mounting Flame, 1971. To be clear, this is a joke about Hamiltonian Flows. Cheers, Brad PS. Errata: previous message ( https://moderncrypto.org/mail-archive/curves/2017/000950.html ) should say Edwards' curve.
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