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I have a program in Python to do the ECDH with the NIST P-256 curve. The program is seemingly working, ie I get the same private key pair at the end. But I want to make sure it's not a coincidence in my code, and that my double-and-add algorithm is working correctly.

TLDR: Is there a strong curve that gives all the details like the NIST P-256 curve and also a tested 2 integers that give a specific private key pair?

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In RFC 5114 appendix A.6 there are test data for NIST P-256. Other appendices give other examples for other NIST curves.

If you want a different family RFC 7027 appendix 1 has test data for the brainpoolP256r1 curve and the other appendices give other examples.

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