NIST

The NIST FIPS 186-4 [1] standard defines recommended curves for use in ECDSA and a verifiably random method for generating them in appendices D.5 and D.7. The curves are presented in the NIST category.

Generating $\mathbb{F}_p$ curves

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

References

1. National Institute of Standards and Technology: FIPS 186-4 - Digital Signature Standard (DSS)