diff --git a/synapse/storage/databases/main/registration.py b/synapse/storage/databases/main/registration.py
index aa83fcf9e2d5..8a3ab82694bf 100644
--- a/synapse/storage/databases/main/registration.py
+++ b/synapse/storage/databases/main/registration.py
@@ -1783,7 +1783,10 @@ async def registration_token_is_valid(self, token: str) -> bool:
             return False
 
         # Check if the token has been used up
-        if res["uses_allowed"] and res["pending"] + res["completed"] >= res["uses_allowed"]:
+        if (
+            res["uses_allowed"]
+            and res["pending"] + res["completed"] >= res["uses_allowed"]
+        ):
             return False
 
         # Otherwise, the token is valid
@@ -1815,7 +1818,10 @@ def _set_registration_token_pending_txn(txn):
         )
 
     async def use_registration_token(self, token: str) -> None:
-        """Increment the completed registrations counter for a token.
+        """Complete a use of the given registration token.
+
+        The `pending` counter will be decremented, and the `completed`
+        counter will be incremented.
 
         Args:
             token: The registration token to be 'used'
diff --git a/synapse/storage/schema/main/delta/59/999create_registration_tokens.sql b/synapse/storage/schema/main/delta/59/999create_registration_tokens.sql
index a9f34c7d6702..ee6cf958f4f3 100644
--- a/synapse/storage/schema/main/delta/59/999create_registration_tokens.sql
+++ b/synapse/storage/schema/main/delta/59/999create_registration_tokens.sql
@@ -16,8 +16,8 @@
 CREATE TABLE IF NOT EXISTS registration_tokens(
     token TEXT NOT NULL,  -- The token that can be used for authentication.
     uses_allowed INT,  -- The total number of times this token can be used. NULL if no limit.
-	pending INT NOT NULL, -- The number of in progress registrations using this token.
-	completed INT NOT NULL, -- The number of times this token has been used to complete a registration.
+    pending INT NOT NULL, -- The number of in progress registrations using this token.
+    completed INT NOT NULL, -- The number of times this token has been used to complete a registration.
     expiry_time BIGINT,  -- The latest time this token will be valid (epoch time in milliseconds). NULL if token doesn't expire.
     UNIQUE (token)
 );
diff --git a/tests/rest/client/v2_alpha/test_register.py b/tests/rest/client/v2_alpha/test_register.py
index 2fff268f9e94..5e6a4ed955d3 100644
--- a/tests/rest/client/v2_alpha/test_register.py
+++ b/tests/rest/client/v2_alpha/test_register.py
@@ -342,7 +342,7 @@ def test_POST_registration_token_limit_uses(self):
             "session": session1,
         }
         self.make_request(b"POST", self.url, json.dumps(params1))
-        # Repeat request to make sure pending isn't set increased again
+        # Repeat request to make sure pending isn't increased again
         self.make_request(b"POST", self.url, json.dumps(params1))
         pending = self.get_success(
             store.db_pool.simple_select_one_onecol(