On its own, Elliptic Curve Cryptography is just mathematical equations. To make it useful for security, it must be put into algorithms, such as the ones listed below.
Digital Signatures
ECDSA: Elliptic Curve Digital Signature Algorithm
ECPVS: Elliptic Curve Pintsov Vanstone Signatures
ECNR: Elliptic Curve Nyberg Rueppel
Key Agreement
ECMQV: Elliptic Curve Menezes-Qu-Vanstone
ECDH: Elliptic Curve Diffie-Hellman
Encryption
ECIES: Elliptic Curve Integrated Encryption Standard
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