diff --git a/src/sage/misc/functional.py b/src/sage/misc/functional.py
index 65a35b45a53..f07e3a951f6 100644
--- a/src/sage/misc/functional.py
+++ b/src/sage/misc/functional.py
@@ -939,7 +939,8 @@ def krull_dimension(x):
         sage: U.krull_dimension()
         4
     """
-    deprecation(39311, "please use the krull_dimension method")
+    deprecation(39311, "this function is deprecated; use `krull_dimension()` instead")
+
     return x.krull_dimension()
 
 
diff --git a/src/sage/schemes/elliptic_curves/gp_simon.py b/src/sage/schemes/elliptic_curves/gp_simon.py
index a1bc0f504ac..3f9054f2935 100644
--- a/src/sage/schemes/elliptic_curves/gp_simon.py
+++ b/src/sage/schemes/elliptic_curves/gp_simon.py
@@ -109,8 +109,8 @@ def simon_two_descent(E, verbose=0, lim1=None, lim3=None, limtriv=None,
             K_pari = pari.bnfinit(K.polynomial(), 1)
         known_points = [P.change_ring(to_K) for P in known_points]
     else:
-        deprecation(38461, "please use the 2-descent algorithm over QQ inside pari")
-        from_K = lambda x: x
+      deprecation(39311, "this method is deprecated; use `krull_dimension()` instead")
+      from_K = lambda x: x
 
     # The block below mimics the defaults in Simon's scripts.
     # They need to be changed when these are updated.