This tag should be used for questions that specifically ask about the contents of RFC 7748, Elliptic Curves for Security (January 2016).
RFC 7748 is an informational memo produced by the Internet Research Task Force (IRTF) that specifies the elliptic curves Curve25519 (128-bit security level) and Curve448 (224-bit security level) over prime fields, which offer cryptographic applications a strong level of practical security.
RFC 7748 also describes the X25519 and X448 functions. X25519 can be used in an Elliptic Curve Diffie-Hellman (ECDH) protocol, and X448 can be used in an ECDH protocol.
This RFC also covers side-channel considerations, test vectors, the procedures that were used in generating the curves, important references (normative and informative), and a critique of the security level of each curve.