diff --git a/src/josepy/jwk.py b/src/josepy/jwk.py
index 7a4abf86..8e507e3d 100644
--- a/src/josepy/jwk.py
+++ b/src/josepy/jwk.py
@@ -1,6 +1,5 @@
 """JSON Web Key."""
 import abc
-import base64
 import json
 import logging
 import math
@@ -407,38 +406,45 @@ class JWKOKP(JWK):
     )
     required = ('crv', JWK.type_field_name, 'x')
 
-    def __init__(self, *args, **kwargs) -> None:
+    def __init__(self, *args, **kwargs):
         if 'key' in kwargs and not isinstance(kwargs['key'], util.ComparableOKPKey):
             kwargs['key'] = util.ComparableOKPKey(kwargs['key'])
         super().__init__(*args, **kwargs)
 
-    def public_key(self) -> Union[
-        ed25519.Ed25519PublicKey, ed448.Ed448PublicKey,
-        x25519.X25519PublicKey, x448.X448PublicKey,
-    ]:
-        return self._wrapped.__class__.public_key()
+    def public_key(self):
+        return self.key._wrapped.__class__.public_key()
+
+    def _key_to_crv(self):
+        if isinstance(self.key._wrapped, (ed25519.Ed25519PrivateKey, ed25519.Ed25519PrivateKey)):
+            return "Ed25519"
+        elif isinstance(self.key._wrapped, (ed448.Ed448PrivateKey, ed448.Ed448PrivateKey)):
+            return "Ed448"
+        elif isinstance(self.key._wrapped, (x25519.X25519PrivateKey, x25519.X25519PrivateKey)):
+            return "X25519"
+        elif isinstance(self.key._wrapped, (x448.X448PrivateKey, x448.X448PrivateKey)):
+            return "X448"
+        return NotImplemented
 
     def fields_to_partial_json(self) -> Dict:
-        params = {}  # type: Dict
+        params = {}
+        print(dir(self))
         if self.key.is_private():
-            params['d'] = base64.b64encode(self.key.private_bytes(
+            params['d'] = json_util.encode_b64jose(self.key.private_bytes(
                 encoding=serialization.Encoding.PEM,
                 format=serialization.PrivateFormat.PKCS8,
                 encryption_algorithm=serialization.NoEncryption()
             ))
             params['x'] = self.key.public_key().public_bytes(
                 encoding=serialization.Encoding.PEM,
-                format=serialization.PublicFormat.PKCS8,
-                encryption_algorithm=serialization.NoEncryption()
+                format=serialization.PublicFormat.SubjectPublicKeyInfo,
             )
         else:
-            params['x'] = base64.b64decode(self.key.public_bytes(
+            params['x'] = json_util.encode_b64jose(self.key.public_bytes(
                 serialization.Encoding.Raw,
                 serialization.PublicFormat.Raw,
                 serialization.NoEncryption(),
             ))
-        # TODO find a better way to get the curve name
-        params['crv'] = 'ed25519'
+        params['crv'] = self._key_to_crv()
         return params
 
     @classmethod
@@ -463,12 +469,12 @@ def fields_from_json(cls, jobj) -> ComparableOKPKey:
 
         if "x" not in obj:
             raise errors.DeserializationError('OKP should have "x" parameter')
-        x = base64.b64decode(jobj.get("x"))
+        x = json_util.decode_b64jose(jobj.get("x"))
 
         try:
             if "d" not in obj:
                 return jobj["key"]._wrapped.__class__.from_public_bytes(x)  # noqa
-            d = base64.b64decode(obj.get("d"))
+            d = json_util.decode_b64jose(obj.get("d"))
             return jobj["key"]._wrapped.__class__.from_private_bytes(d)  # noqa
         except ValueError as err:
             raise errors.DeserializationError("Invalid key parameter") from err
diff --git a/src/josepy/jwk_test.py b/src/josepy/jwk_test.py
index fe37b71e..8ba31747 100644
--- a/src/josepy/jwk_test.py
+++ b/src/josepy/jwk_test.py
@@ -342,7 +342,6 @@ def setUp(self):
         self.private = self.x448_key
         self.jwk = self.private
         # Test vectors taken from
-        #
         self.jwked25519json = {
             'kty': 'OKP',
             'crv': 'Ed25519',
@@ -368,36 +367,31 @@ def setUp(self):
             'x': 'jjQtV-fA7J_tK8dPzYq7jRPNjF8r5p6LW2R25S2Gw5U',
         }
 
-#     def test_encode_ed448(self):
-#         from josepy.jwk import JWKOKP
-#         import josepy
-#         data = """-----BEGIN PRIVATE KEY-----
-# MEcCAQAwBQYDK2VxBDsEOfqsAFWdop10FFPW7Ha2tx2AZh0Ii+jfL2wFXU/dY/fe
-# iU7/vrGmQ+ux26NkgzfploOHZjEmltLJ9w==
-# -----END PRIVATE KEY-----"""
-#         key = JWKOKP.load(data)
-#         data = key.to_partial_json()
-#         # key = JWKOKP.load(data)
-#         x = josepy.json_util.decode_b64jose(data['x'])
-#         self.assertEqual(len(x), 64)
+    def test_encode_ed448(self):
+        from josepy.jwk import JWKOKP
+        import josepy
+        data = b"""-----BEGIN PRIVATE KEY-----
+MEcCAQAwBQYDK2VxBDsEOfqsAFWdop10FFPW7Ha2tx2AZh0Ii+jfL2wFXU/dY/fe
+iU7/vrGmQ+ux26NkgzfploOHZjEmltLJ9w==
+-----END PRIVATE KEY-----"""
+        key = JWKOKP.load(data)
+        data = key.to_partial_json()
+        x = josepy.json_util.encode_b64jose(data['x'])
+        self.assertEqual(len(x), 195)
 
     def test_encode_ed25519(self):
         import josepy
         from josepy.jwk import JWKOKP
         data = b"""-----BEGIN PRIVATE KEY-----
-        MC4CAQAwBQYDK2VwBCIEIPIAha9VqyHHpY1GtEW8JXWqLU5mrPRhXPwJqCtL3bWZ
-        -----END PRIVATE KEY-----"""
+MC4CAQAwBQYDK2VwBCIEIPIAha9VqyHHpY1GtEW8JXWqLU5mrPRhXPwJqCtL3bWZ
+-----END PRIVATE KEY-----"""
         key = JWKOKP.load(data)
         data = key.to_partial_json()
-        print(data)
-        # key = jwk.JWKOKP.load(data)
-        # y = josepy.json_util.decode_b64jose(data['x'])
-        # self.assertEqual(len(y), 64)
-
-    # def test_init_auto_comparable(self):
-    #     self.assertIsInstance(
-    #         self.jwk256_not_comparable.key, util.ComparableECKey)
-    #     self.assertEqual(self.jwk256, self.jwk256_not_comparable)
+        x = josepy.json_util.encode_b64jose(data['x'])
+        self.assertEqual(len(x), 151)
+
+    def test_init_auto_comparable(self):
+        self.assertIsInstance(self.x448_key.key, util.ComparableOKPKey)
 
     def test_unknown_crv_name(self):
         from josepy.jwk import JWK