-.\" $OpenBSD: EC_GROUP_new.3,v 1.16 2024/04/26 14:23:03 tb Exp $
+.\" $OpenBSD: EC_GROUP_new.3,v 1.17 2024/04/27 07:41:47 tb Exp $
.\" OpenSSL 6328d367 Sat Jul 4 21:58:30 2020 +0200
.\"
.\" This file was written by Matt Caswell <matt@openssl.org>.
.\" ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
.\" OF THE POSSIBILITY OF SUCH DAMAGE.
.\"
-.Dd $Mdocdate: April 26 2024 $
+.Dd $Mdocdate: April 27 2024 $
.Dt EC_GROUP_NEW 3
.Os
.Sh NAME
.Fc
.Sh DESCRIPTION
The EC library provides functions for performing operations on
-elliptic curves over finite fields.
-In general, an elliptic curve satisfies an equation of the form:
+elliptic curves in Weierstrass form.
+Such curves are defined over the prime field of order
+.Fa p
+and satisfy the Weierstrass equation with coefficients
+.Fa a
+and
+.Fa b
.Pp
.Dl y^2 = x^3 + ax + b
.Pp