diff --git a/src/com/google/cose/utils/CoseUtils.java b/src/com/google/cose/utils/CoseUtils.java
index 578b38e..ff00dc2 100644
--- a/src/com/google/cose/utils/CoseUtils.java
+++ b/src/com/google/cose/utils/CoseUtils.java
@@ -66,6 +66,7 @@
 import org.bouncycastle.asn1.ASN1Sequence;
 import org.bouncycastle.asn1.DERSequenceGenerator;
 import org.bouncycastle.jce.ECNamedCurveTable;
+import org.bouncycastle.jce.spec.ECNamedCurveParameterSpec;
 
 public class CoseUtils {
   private static final String EC_PARAMETER_SPEC = "EC";
@@ -148,8 +149,15 @@ public static ECPrivateKey getEc2PrivateKeyFromInteger(int curve, BigInteger s)
   public static PublicKey getEc2PublicKeyFromCoordinates(int curve, BigInteger x, BigInteger y)
       throws CoseException {
     try {
+      final String curveName = getEc2CoseCurveName(curve);
+      final ECNamedCurveParameterSpec spec = ECNamedCurveTable.getParameterSpec(curveName);
+      if (spec == null) {
+        throw new IllegalStateException("Unsupported curve: " + curveName);
+      }
+      spec.getCurve().validatePoint(x, y);
+
       final AlgorithmParameters params = AlgorithmParameters.getInstance(EC_PARAMETER_SPEC);
-      params.init(new ECGenParameterSpec(getEc2CoseCurveName(curve)));
+      params.init(new ECGenParameterSpec(curveName));
       final ECParameterSpec ecParameters = params.getParameterSpec(ECParameterSpec.class);
 
       final ECPoint ecPoint = new ECPoint(x, y);
diff --git a/test/com/google/cose/Ec2SigningKeyTest.java b/test/com/google/cose/Ec2SigningKeyTest.java
index 52a36eb..ab9d0bd 100644
--- a/test/com/google/cose/Ec2SigningKeyTest.java
+++ b/test/com/google/cose/Ec2SigningKeyTest.java
@@ -80,17 +80,28 @@ public void testRoundTrip() throws CborException, CoseException {
   }
 
   @Test
-  public void testConversion() throws CborException, CoseException {
-    final String cborString = "A4010220012158205A88D182BCE5F42EFA59943F33359D2E8A968FF289D93E5FA44"
-        + "4B624343167FE225820B16E8CF858DDC7690407BA61D4C338237A8CFCF3DE6AA672FC60A557AA32FC67";
-    final ByteString x = new ByteString(X_BYTES);
-    final ByteString y = new ByteString(Y_BYTES);
-    final Ec2SigningKey sKey = Ec2SigningKey.parse(TestUtilities.hexStringToByteArray(cborString));
-    Assert.assertEquals(Headers.KEY_TYPE_EC2, sKey.getKeyType());
-    Assert.assertEquals(new UnsignedInteger(Headers.CURVE_EC2_P256),
-        sKey.getLabels().get(Headers.KEY_PARAMETER_CURVE));
-    Assert.assertEquals(x, sKey.getLabels().get(Headers.KEY_PARAMETER_X));
-    Assert.assertEquals(y, sKey.getLabels().get(Headers.KEY_PARAMETER_Y));
+  public void testCoordinatesNotOnCurve() {
+    final int[] allCurves = new int[]{
+        Headers.CURVE_EC2_P256,
+        Headers.CURVE_EC2_P384,
+        Headers.CURVE_EC2_P521
+    };
+
+    for (int curve: allCurves) {
+      final Map map = new Map();
+      map.put(new UnsignedInteger(Headers.KEY_PARAMETER_KEY_TYPE),
+              new UnsignedInteger(Headers.KEY_TYPE_EC2));
+      map.put(new NegativeInteger(Headers.KEY_PARAMETER_CURVE), new UnsignedInteger(curve));
+      map.put(new NegativeInteger(Headers.KEY_PARAMETER_X),
+              new ByteString(
+                  TestUtilities.hexStringToByteArray(
+                      "59cc8d401bbd23517c7b5e948d269190d2a897e9061d1af3bc0398d77edd1400")));
+      map.put(new NegativeInteger(Headers.KEY_PARAMETER_Y),
+              new ByteString(
+                  TestUtilities.hexStringToByteArray(
+                      "77550f5dbc8b3fbbb35c099961d51a956c7228c6e36aeccb4c95ac69cf27f7e6")));
+      assertThrows(IllegalArgumentException.class, () -> new Ec2SigningKey(map));
+    }
   }
 
   @Test