diff --git a/crypto/ecc_curve_defs.h b/crypto/ecc_curve_defs.h
index b80f45d..94e883a 100644
--- a/crypto/ecc_curve_defs.h
+++ b/crypto/ecc_curve_defs.h
@@ -13,9 +13,11 @@ struct ecc_curve {
 	struct ecc_point g;
 	u64 *p;
 	u64 *n;
+	u64 *a;
+	u64 *b;
 };
 
-/* NIST P-192 */
+/* NIST P-192: a = p - 3 */
 static u64 nist_p192_g_x[] = { 0xF4FF0AFD82FF1012ull, 0x7CBF20EB43A18800ull,
 				0x188DA80EB03090F6ull };
 static u64 nist_p192_g_y[] = { 0x73F977A11E794811ull, 0x631011ED6B24CDD5ull,
@@ -24,6 +26,10 @@ static u64 nist_p192_p[] = { 0xFFFFFFFFFFFFFFFFull, 0xFFFFFFFFFFFFFFFEull,
 				0xFFFFFFFFFFFFFFFFull };
 static u64 nist_p192_n[] = { 0x146BC9B1B4D22831ull, 0xFFFFFFFF99DEF836ull,
 				0xFFFFFFFFFFFFFFFFull };
+static u64 nist_p192_a[] = { 0xFFFFFFFFFFFFFFFCull, 0xFFFFFFFFFFFFFFFEull,
+				0xFFFFFFFFFFFFFFFEull };
+static u64 nist_p192_b[] = { 0xFEB8DEECC146B9B1ull, 0x0FA7E9AB72243049ull,
+				0x64210519E59C80E7ull };
 static struct ecc_curve nist_p192 = {
 	.name = "nist_192",
 	.g = {
@@ -32,10 +38,12 @@ static struct ecc_curve nist_p192 = {
 		.ndigits = 3,
 	},
 	.p = nist_p192_p,
-	.n = nist_p192_n
+	.n = nist_p192_n,
+	.a = nist_p192_a,
+	.b = nist_p192_b
 };
 
-/* NIST P-256 */
+/* NIST P-256: a = p - 3 */
 static u64 nist_p256_g_x[] = { 0xF4A13945D898C296ull, 0x77037D812DEB33A0ull,
 				0xF8BCE6E563A440F2ull, 0x6B17D1F2E12C4247ull };
 static u64 nist_p256_g_y[] = { 0xCBB6406837BF51F5ull, 0x2BCE33576B315ECEull,
@@ -44,6 +52,10 @@ static u64 nist_p256_p[] = { 0xFFFFFFFFFFFFFFFFull, 0x00000000FFFFFFFFull,
 				0x0000000000000000ull, 0xFFFFFFFF00000001ull };
 static u64 nist_p256_n[] = { 0xF3B9CAC2FC632551ull, 0xBCE6FAADA7179E84ull,
 				0xFFFFFFFFFFFFFFFFull, 0xFFFFFFFF00000000ull };
+static u64 nist_p256_a[] = { 0xFFFFFFFFFFFFFFFCull, 0x00000000FFFFFFFFull,
+				0x0000000000000000ull, 0xFFFFFFFF00000001ull };
+static u64 nist_p256_b[] = { 0x3BCE3C3E27D2604Bull, 0x651D06B0CC53B0F6ull,
+				0xB3EBBD55769886BCull, 0x5AC635D8AA3A93E7ull };
 static struct ecc_curve nist_p256 = {
 	.name = "nist_256",
 	.g = {
@@ -52,7 +64,9 @@ static struct ecc_curve nist_p256 = {
 		.ndigits = 4,
 	},
 	.p = nist_p256_p,
-	.n = nist_p256_n
+	.n = nist_p256_n,
+	.a = nist_p256_a,
+	.b = nist_p256_b
 };
 
 #endif