diff --git a/src/sage/rings/function_field/finite_drinfeld_module.py b/src/sage/rings/function_field/finite_drinfeld_module.py
index 37e8e694803..0c75d78f3f1 100644
--- a/src/sage/rings/function_field/finite_drinfeld_module.py
+++ b/src/sage/rings/function_field/finite_drinfeld_module.py
@@ -407,14 +407,14 @@ def invert(self, image):
         else:
             return None
 
-    def is_supersingular(self):
-        return self.characteristic().divides(self.frobenius_trace())
-
-    def is_ordinary(self):
-        return not self.is_supersingular()
+    def is_automorphism(self, candidate):
+        if not candidate in self.ore_polring():
+            raise TypeError('The candidate must be in the Ore polynomial ' \
+                    'ring')
+        return candidate != 0 and candidate in self._Fq()
 
-    def is_morphism(self, candidate):
-        return candidate == 0 or self.is_isogeny(candidate)
+    def is_endomorphism(self, candidate):
+        return candidate == 0 or self == self.velu(candidate)
 
     def is_isogeny(self, candidate):
         if not candidate in self.ore_polring():
@@ -428,14 +428,14 @@ def is_isogeny(self, candidate):
             return self.characteristic().degree().divides(candidate.valuation()) \
                 and candidate.right_divides(candidate * self.gen())
 
-    def is_endomorphism(self, candidate):
-        return candidate == 0 or self == self.velu(candidate)
+    def is_morphism(self, candidate):
+        return candidate == 0 or self.is_isogeny(candidate)
 
-    def is_automorphism(self, candidate):
-        if not candidate in self.ore_polring():
-            raise TypeError('The candidate must be in the Ore polynomial ' \
-                    'ring')
-        return candidate != 0 and candidate in self._Fq()
+    def is_ordinary(self):
+        return not self.is_supersingular()
+
+    def is_supersingular(self):
+        return self.characteristic().divides(self.frobenius_trace())
 
     def j(self):
         if self.rank() != 2:
@@ -540,6 +540,9 @@ def finite_drinfeld_module(self):
     # Special Sage functions #
     ##########################
 
+    def _act_(self, g, x):
+        return self.finite_drinfeld_module()(g)(x)
+
     def _latex_(self):
         return f'\\text{{Action{{ }}on{{ }}}}' \
                 f'{latex(self.extension())}\\text{{{{ }}' \
@@ -549,9 +552,6 @@ def _repr_(self):
         return f'Action on {self.domain()} induced by ' \
                 f'{self.finite_drinfeld_module()}'
 
-    def _act_(self, g, x):
-        return self.finite_drinfeld_module()(g)(x)
-
 
 def _check_base_fields(Fq, L):
     if not (L.is_field() and L.is_finite() and Fq.is_subring(L)):