Most of the private to public key implementations I've come across do not make use of the equation y^2=x^3+7 (the weierstrass equation defining SECp256k1).
One that i often use is in the link below and does not use any external libraries.[EllipticCurvesPart4-PrivateKeyToPublicKey.py][1]
As you can tell, only the parameters a and b of the equation are used in the code. This brings up the following question :
Are a=0 and b=7 coefficients with special properties?Or they could have been any other number?
This is not about the parameters of SECP256k1 but has more to do with an observation i have come across where the curve under the specific values 0 and 7 translates into a different structure.
I would first appreciate knowing if there are any explanations that are more valid and perhaps verifiable that may negate this observation. [1]: https://github.com/wobine/blackboard101/blob/master/EllipticCurvesPart4-PrivateKeyToPublicKey.py
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