ANSI X9.62

The ANSI X9.62 [1] standard published by the American National Standards Institute provides a way of generating verifiably random elliptic curves in its appendices A.3.3.1 and A.3.3.2. The curves are presented in the ANSI X9.62 category.

Generating $\mathbb{F}_p$ curves

Generating $\mathbb{F}_{2^m}$ curves

References

1. Accredited Standards Committee X9 : Public Key Cryptography For The Financial Services Industry : The Elliptic Curve Digital Signature Algorithm (ECDSA)