Elliptic Curves for Pairings
The usual curves we use in ECC are often not suitable for pairing-based cryptography (e.g. you may not find an efficient bilinear mapping), while pairing-friendly curves may not be suitable for normal ECC (e.g. in gap Diffie–Hellman groups, DDH is not hard).

There is an IETF draft on Pairing-Friendly Curves, summarizing the popular curves used in pairing-based cryptography