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Would you mind ELI5 or link to an article which isn't crap? To me it sounds a bit like bruteforcing a private key from a public one.
The public key is the curve base point times the private key. This is secure because multiplication in ECC is like a hash, it's not easily invertible. If you can change the base point, you just set the private key to 1 and the base point to whatever public key you want.
