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The same is true also for eth and many other cryptocurrencies. The only thing that changes is how from a point (public key) you derive the final address, and which alphabet you use to encode it in a readable form.
Also fascinating is that curves of higher order power also have properties similar to elliptic curves
What do you mean by higher order power?
Perhaps genus for hyperelliptic curves, or dimension for abelian varieties?
the burnside curve which is given by y^2=x^5-x also has a half period ratio and a hypergeoemtric function representation for the enclosed part