diff --git a/src/groups/curves/short_weierstrass/mod.rs b/src/groups/curves/short_weierstrass/mod.rs
index fbfa8e3..ad32bb9 100644
--- a/src/groups/curves/short_weierstrass/mod.rs
+++ b/src/groups/curves/short_weierstrass/mod.rs
@@ -900,7 +900,7 @@ where
                 if cofactor_weight < modulus_minus_1_weight {
                     Ok(result)
                 } else {
-                    ge.enforce_equal(&ge)?;
+                    ge.negate()?.enforce_equal(&result)?;
                     Ok(ge)
                 }
             },
diff --git a/src/groups/curves/twisted_edwards/mod.rs b/src/groups/curves/twisted_edwards/mod.rs
index 83c50a0..1ceccc9 100644
--- a/src/groups/curves/twisted_edwards/mod.rs
+++ b/src/groups/curves/twisted_edwards/mod.rs
@@ -641,7 +641,7 @@ where
                 if cofactor_weight < modulus_minus_1_weight {
                     Ok(result)
                 } else {
-                    ge.enforce_equal(&ge)?;
+                    ge.negate()?.enforce_equal(&result)?;
                     Ok(ge)
                 }
             },