ECC - GnuPG wiki

Elliptic curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. One of the main benefits in comparison with non-ECC cryptography [..] is the same level of security provided by keys of smaller size. from its Wikipedia entry 2015-11-05

http://arstechnica.com/security/2013/10/a-relatively-easy-to-understand-primer-on-elliptic-curve-cryptography/1/

GnuPG 2.1 supports ECC.

Function	Protocol	Curve	Spec.	Library dependency	Token
Signature	ECDSA	NIST P-256	RFC6637		Gnuk 1.2
Signature	ECDSA	NIST P-384	RFC6637
Signature	ECDSA	NIST P-521	RFC6637
Signature	ECDSA	ECC Brainpool brainpoolP256r1

Signature	ECDSA	ECC Brainpool brainpoolP384r1

Signature	ECDSA	ECC Brainpool brainpoolP512r1

Signature	ECDSA	SECG secp256k1		libgcrypt 1.7	Gnuk 1.2
Signature	EdDSA	Ed25519	RFC4880bis draft		Gnuk 1.2
Encryption	ECDH	NIST P-256	RFC6637		Gnuk 1.2
Encryption	ECDH	NIST P-384	RFC6637
Encryption	ECDH	NIST P-521	RFC6637
Encryption	ECDH	ECC Brainpool brainpoolP256r1

Encryption	ECDH	ECC Brainpool brainpoolP384r1

Encryption	ECDH	ECC Brainpool brainpoolP512r1

Encryption	ECDH	SECG secp256k1		libgcrypt 1.7	Gnuk 1.2
Encryption	ECDH	Curve25519		libgcrypt 1.7	Gnuk 1.2