diff --git a/src/crypto/elliptic/elliptic.go b/src/crypto/elliptic/elliptic.go
index 85d105419b4313..b8e5a3097d261f 100644
--- a/src/crypto/elliptic/elliptic.go
+++ b/src/crypto/elliptic/elliptic.go
@@ -40,6 +40,15 @@ type Curve interface {
 	ScalarBaseMult(k []byte) (x, y *big.Int)
 }
 
+func matchesSpecificCurve(params *CurveParams, available ...Curve) (Curve, bool) {
+	for _, c := range available {
+		if params == c.Params() {
+			return c, true
+		}
+	}
+	return nil, false
+}
+
 // CurveParams contains the parameters of an elliptic curve and also provides
 // a generic, non-constant time implementation of Curve.
 type CurveParams struct {
@@ -71,6 +80,12 @@ func (curve *CurveParams) polynomial(x *big.Int) *big.Int {
 }
 
 func (curve *CurveParams) IsOnCurve(x, y *big.Int) bool {
+	// If there is a dedicated constant-time implementation for this curve operation,
+	// use that instead of the generic one.
+	if specific, ok := matchesSpecificCurve(curve, p224, p521); ok {
+		return specific.IsOnCurve(x, y)
+	}
+
 	// y² = x³ - 3x + b
 	y2 := new(big.Int).Mul(y, y)
 	y2.Mod(y2, curve.P)
@@ -108,6 +123,12 @@ func (curve *CurveParams) affineFromJacobian(x, y, z *big.Int) (xOut, yOut *big.
 }
 
 func (curve *CurveParams) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) {
+	// If there is a dedicated constant-time implementation for this curve operation,
+	// use that instead of the generic one.
+	if specific, ok := matchesSpecificCurve(curve, p224, p521); ok {
+		return specific.Add(x1, y1, x2, y2)
+	}
+
 	z1 := zForAffine(x1, y1)
 	z2 := zForAffine(x2, y2)
 	return curve.affineFromJacobian(curve.addJacobian(x1, y1, z1, x2, y2, z2))
@@ -192,6 +213,12 @@ func (curve *CurveParams) addJacobian(x1, y1, z1, x2, y2, z2 *big.Int) (*big.Int
 }
 
 func (curve *CurveParams) Double(x1, y1 *big.Int) (*big.Int, *big.Int) {
+	// If there is a dedicated constant-time implementation for this curve operation,
+	// use that instead of the generic one.
+	if specific, ok := matchesSpecificCurve(curve, p224, p521); ok {
+		return specific.Double(x1, y1)
+	}
+
 	z1 := zForAffine(x1, y1)
 	return curve.affineFromJacobian(curve.doubleJacobian(x1, y1, z1))
 }
@@ -258,6 +285,12 @@ func (curve *CurveParams) doubleJacobian(x, y, z *big.Int) (*big.Int, *big.Int,
 }
 
 func (curve *CurveParams) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.Int) {
+	// If there is a dedicated constant-time implementation for this curve operation,
+	// use that instead of the generic one.
+	if specific, ok := matchesSpecificCurve(curve, p224, p256, p521); ok {
+		return specific.ScalarMult(Bx, By, k)
+	}
+
 	Bz := new(big.Int).SetInt64(1)
 	x, y, z := new(big.Int), new(big.Int), new(big.Int)
 
@@ -275,6 +308,12 @@ func (curve *CurveParams) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.
 }
 
 func (curve *CurveParams) ScalarBaseMult(k []byte) (*big.Int, *big.Int) {
+	// If there is a dedicated constant-time implementation for this curve operation,
+	// use that instead of the generic one.
+	if specific, ok := matchesSpecificCurve(curve, p224, p256, p521); ok {
+		return specific.ScalarBaseMult(k)
+	}
+
 	return curve.ScalarMult(curve.Gx, curve.Gy, k)
 }
 
diff --git a/src/crypto/elliptic/elliptic_test.go b/src/crypto/elliptic/elliptic_test.go
index 0d43b736f9ae5d..183861a54b52fe 100644
--- a/src/crypto/elliptic/elliptic_test.go
+++ b/src/crypto/elliptic/elliptic_test.go
@@ -12,19 +12,29 @@ import (
 	"testing"
 )
 
+// genericParamsForCurve returns the dereferenced CurveParams for
+// the specified curve. This is used to avoid the logic for
+// upgrading a curve to it's specific implementation, forcing
+// usage of the generic implementation. This is only relevant
+// for the P224, P256, and P521 curves.
+func genericParamsForCurve(c Curve) *CurveParams {
+	d := *(c.Params())
+	return &d
+}
+
 func testAllCurves(t *testing.T, f func(*testing.T, Curve)) {
 	tests := []struct {
 		name  string
 		curve Curve
 	}{
 		{"P256", P256()},
-		{"P256/Params", P256().Params()},
+		{"P256/Params", genericParamsForCurve(P256())},
 		{"P224", P224()},
-		{"P224/Params", P224().Params()},
+		{"P224/Params", genericParamsForCurve(P224())},
 		{"P384", P384()},
-		{"P384/Params", P384().Params()},
+		{"P384/Params", genericParamsForCurve(P384())},
 		{"P521", P521()},
-		{"P521/Params", P521().Params()},
+		{"P521/Params", genericParamsForCurve(P521())},
 	}
 	if testing.Short() {
 		tests = tests[:1]
diff --git a/src/crypto/elliptic/p256_asm.go b/src/crypto/elliptic/p256_asm.go
index 08dbd2ea54807d..9a808f260ac095 100644
--- a/src/crypto/elliptic/p256_asm.go
+++ b/src/crypto/elliptic/p256_asm.go
@@ -29,9 +29,7 @@ type (
 	}
 )
 
-var (
-	p256 p256Curve
-)
+var p256 p256Curve
 
 func initP256() {
 	// See FIPS 186-3, section D.2.3
diff --git a/src/crypto/elliptic/p256_generic.go b/src/crypto/elliptic/p256_generic.go
index 8ad56638e9519c..25762a8f768b3b 100644
--- a/src/crypto/elliptic/p256_generic.go
+++ b/src/crypto/elliptic/p256_generic.go
@@ -7,9 +7,7 @@
 
 package elliptic
 
-var (
-	p256 p256Curve
-)
+var p256 p256Curve
 
 func initP256Arch() {
 	// Use pure Go implementation.