Hi Jan, I think you probably want to hear from an expert, but maybe you will find worthwhile a few comments from another perspective:
1. If you even mention magic in your business pitch-- this is an advertisement, right?--your potential customers will wonder if you really have the most powerful magicians on your team. If no, then some potential customers will run away from you. 2. Mentioning magic also raises suspicion. What assurance do we have that your suggested website is nothing mendacious? To make the trust situation more difficult, we can see that trustica is affiliated with brmlab, a self-declared "hacker" entity based in Prague [1,2]. These points aside, a few more: 3. The supremacy of particular normal form is part of a history leading up to the computer age, and not really part of the computer age itself. With computer-based mathematics, we can rely less and less upon simplifying assumptions. Why do we need to start with Weierstrass formalism? 4. If you look at the [curves] archives, many of the recent topics regard Curve25519 and Ed25519. Why not use this curve as an example? Can you make a nice transformation video between these curves? 5. Your mention of Riemann-Roch is confusing. When discussing genus, it's really more practical and helpful to just give readers the simple Singular algorithm for calculating the genus of an algebraic plane curve [3] (thanks again TU Eindhoven!). 4. The citations are superfluous and lacking. LMFDB is also standardized on the Weierstrass model, so why not cite them? If you search their collection of Q-Curves for "[2,2,-1,1,3]" or "[-3,21/4]" they will return "y^2+y=x^3-3*x+5" and "P=(1/4,13/8)" [4]. Regards, Brad [1] https://myip.ms/view/dns/571223/ns.trustica.cz [2] https://wiki.hackerspaces.org/Brmlab [3] https://www.win.tue.nl/~aeb/2WF02/genus.pdf [4] http://www.lmfdb.org/EllipticCurve/Q/10179/b/1 Original Post: https://moderncrypto.org/mail-archive/curves/2018/000975.html
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