diff --git a/pgpy/errors.py b/pgpy/errors.py
index 6af0612..8c94c05 100644
--- a/pgpy/errors.py
+++ b/pgpy/errors.py
@@ -4,6 +4,7 @@
 __all__ = ('PGPError',
            'PGPEncryptionError',
            'PGPDecryptionError',
+           'PGPIncompatibleECPointFormat',
            'PGPOpenSSLCipherNotSupported',
            'PGPInsecureCipher',
            'WontImplementError',)
@@ -24,6 +25,11 @@ class PGPDecryptionError(Exception):
     pass
 
 
+class PGPIncompatibleECPointFormat(Exception):
+    """Raised when the point format is incompatible with the elliptic curve"""
+    pass
+
+
 class PGPOpenSSLCipherNotSupported(Exception):
     """Raised when OpenSSL does not support the requested cipher"""
     pass
diff --git a/pgpy/packet/fields.py b/pgpy/packet/fields.py
index 8e74805..cc5c8cb 100644
--- a/pgpy/packet/fields.py
+++ b/pgpy/packet/fields.py
@@ -55,6 +55,7 @@
 
 from ..errors import PGPDecryptionError
 from ..errors import PGPError
+from ..errors import PGPIncompatibleECPointFormat
 
 from ..symenc import _decrypt
 from ..symenc import _encrypt
@@ -565,8 +566,7 @@ def parse(self, packet):
 
         self.p = ECPoint(packet)
         if self.p.format != ECPointFormat.Standard:
-            raise NotImplementedError("Expected: standard Elliptic curve point format (0x40). Got: 0x{:02X}".format(self.p.format))
-
+            raise PGPIncompatibleECPointFormat("Only Standard format is valid for ECDSA")
 
 
 class ECDHPub(PubKey):
@@ -637,7 +637,7 @@ def parse(self, packet):
 
         self.p = ECPoint(packet)
         if self.p.format != ECPointFormat.Standard:
-            raise NotImplementedError("Expected: standard Elliptic curve point format (0x40). Got: 0x{:02X}".format(self.p.format))
+            raise PGPIncompatibleECPointFormat("Only curves using Standard format are currently supported for ECDH")
         self.kdf.parse(packet)