diff --git a/OpenSSL/crypto.py b/OpenSSL/crypto.py
index 0c4b2f8..6e32ad1 100644
--- a/OpenSSL/crypto.py
+++ b/OpenSSL/crypto.py
@@ -364,6 +364,10 @@
 
     See :py:func:`get_elliptic_curves` for information about curve objects.
 
+    :param name: The OpenSSL short name identifying the curve object to
+        retrieve.
+    :type name: :py:class:`unicode`
+
     If the named curve is not supported then :py:class:`ValueError` is raised.
     """
     for curve in get_elliptic_curves():