NIST FIPS.186-4 has standardized 5 ECC curves on field 𝔽𝑝 (P-192, P-224, P-256, P-384, P-521) and 10 elliptic curves on binary fields. None of them seem to have pairings. Are there any standard curves which support pairings? Are there any libraries which support those curves?
Are there any standard curves which support pairings?
No, there are currently no pairing-friendly NIST curves; NIST has not announced any plans to approve of either a pairing-friendly curve, or any cryptographical operation that involves a pairing operation.