diff --git a/coolest/template/classes/parameter.py b/coolest/template/classes/parameter.py
index d4df00c..82aa1a2 100644
--- a/coolest/template/classes/parameter.py
+++ b/coolest/template/classes/parameter.py
@@ -138,6 +138,26 @@ def set_point_estimate(self, point_estimate):
             if max_val is not None and np.any(np.asarray(val) > np.asarray(max_val)):
                 raise ValueError(f"Value cannot be larger than {self.definition_range.max_value}.")
 
+    def set_flag(self, flag):
+        """Set the parameter as a flag.
+
+        Parameters
+        ----------
+        flag : bool, string
+            Flag value
+
+        Raises
+        ------
+        ValueError
+            If the provided flag has not a supported type.
+        """
+        if isinstance(flag, (bool, str)):
+            self.point_estimate = flag
+        else:
+            raise ValueError("Flag value must be either a boolean or a string (bool or str).")
+
+        
+            
     def remove_point_estimate(self):
         """Remove the current point estimate of the parameter.
         """
@@ -272,4 +292,4 @@ class IrregularGridParameter(IrregularGrid):
     def __init__(self, documentation, **kwargs_grid) -> None:
         self.documentation = documentation
         super().__init__(**kwargs_grid)
-        
\ No newline at end of file
+        
diff --git a/coolest/template/classes/profiles/light.py b/coolest/template/classes/profiles/light.py
index c970f44..f8a6c69 100644
--- a/coolest/template/classes/profiles/light.py
+++ b/coolest/template/classes/profiles/light.py
@@ -148,24 +148,30 @@ class LensedPS(AnalyticalProfile):
     def __init__(self):
         documentation = "Set of point source and lensed multiple images"
         parameters = {
-            'ra_true': NonLinearParameter("X-axis position of the true, unlensed point source",
-                               DefinitionRange(),
-                               latex_str=r"$ra$"),
-            'dec_lensed': NonLinearParameter("Y-axis position of the true, unlensed point source",
-                               DefinitionRange(),
-                               latex_str=r"$dec$"),
-            'mag_lensed': LinearParameter("Magnitude of the true, unlensed point sources",
-                               DefinitionRange(min_value=0.0),
-                               latex_str=r"$A$"),
-            'ra_lensed': NonLinearParameterSet("X-axis positions of the multiple images",
-                               DefinitionRange(),
-                               latex_str=r"$ra$"),
-            'dec_lensed': NonLinearParameterSet("Y-axis positions of the multiple images",
-                               DefinitionRange(),
-                               latex_str=r"$dec$"),
-            'mag_lensed': LinearParameterSet("Set of magnitude values of the multiple images",
-                               DefinitionRange(min_value=0.0),
-                               latex_str=r"$A$"),
+            'x_true': NonLinearParameter("X-axis position of the true, unlensed point source",
+                                         DefinitionRange(),
+                                         latex_str=r"$ra$"),
+            'y_true': NonLinearParameter("Y-axis position of the true, unlensed point source",
+                                           DefinitionRange(),
+                                           latex_str=r"$dec$"),
+            'm_true': LinearParameter("Magnitude of the true, unlensed point sources",
+                                        DefinitionRange(min_value=0.0),
+                                        latex_str=r"$A$"),
+            'x_lensed': NonLinearParameterSet("X-axis positions of the multiple images",
+                                              DefinitionRange(),
+                                              latex_str=r"$ra$"),
+            'y_lensed': NonLinearParameterSet("Y-axis positions of the multiple images",
+                                              DefinitionRange(),
+                                              latex_str=r"$dec$"),
+            'm_lensed': LinearParameterSet("Set of magnitude values of the multiple images",
+                                           DefinitionRange(min_value=0.0),
+                                           latex_str=r"$A$"),
+            'flag_contains': LinearParameter("Flag contains",
+                                             DefinitionRange(),
+                                             latex_str=r"Contains"),
+            'flag_coupled': LinearParameter("Flag coupled",
+                                            DefinitionRange(),
+                                            latex_str=r"Coupled")
         }
         super().__init__(parameters)