diff --git a/k256/src/arithmetic/field.rs b/k256/src/arithmetic/field.rs
index 5a4ef2b4f..c2ebc87e8 100644
--- a/k256/src/arithmetic/field.rs
+++ b/k256/src/arithmetic/field.rs
@@ -265,14 +265,6 @@ impl FieldElement {
     pub fn modulus_as_biguint() -> BigUint {
         Self::one().negate(1).to_biguint().unwrap() + 1.to_biguint().unwrap()
     }
-
-    /// Return the parity of the field
-    /// 1 == negative
-    /// 0 == non-negative
-    pub fn sgn0(&self) -> Choice {
-        let bytes = self.to_bytes();
-        (bytes[31] & 1).into()
-    }
 }
 
 impl ConditionallySelectable for FieldElement {
diff --git a/k256/src/arithmetic/hash2curve.rs b/k256/src/arithmetic/hash2curve.rs
index 2cfb92735..6ff837c35 100644
--- a/k256/src/arithmetic/hash2curve.rs
+++ b/k256/src/arithmetic/hash2curve.rs
@@ -46,7 +46,7 @@ impl FromOkm for FieldElement {
 
 impl Sgn0 for FieldElement {
     fn sgn0(&self) -> Choice {
-        FieldElement::sgn0(self)
+        self.is_odd()
     }
 }
 
@@ -126,7 +126,7 @@ impl OsswuMap for FieldElement {
         // if e2, y = y1, else y = y2
         let mut y = Self::conditional_select(&y2, &y1, e2);
 
-        y.conditional_assign(&-y, self.sgn0() ^ y.sgn0());
+        y.conditional_assign(&-y, self.normalize().sgn0() ^ y.normalize().sgn0());
         (x, y)
     }
 }
diff --git a/p256/src/arithmetic/field.rs b/p256/src/arithmetic/field.rs
index d95e5ff24..25a18cb4d 100644
--- a/p256/src/arithmetic/field.rs
+++ b/p256/src/arithmetic/field.rs
@@ -194,7 +194,8 @@ impl FieldElement {
     ///
     /// If odd, return `Choice(1)`.  Otherwise, return `Choice(0)`.
     pub fn is_odd(&self) -> Choice {
-        self.sgn0()
+        let bytes = self.to_bytes();
+        (bytes[31] & 1).into()
     }
 
     /// Returns self + rhs mod p
@@ -465,14 +466,6 @@ impl FieldElement {
             (&sqrt * &sqrt).ct_eq(self), // Only return Some if it's the square root.
         )
     }
-
-    /// Return the parity of the field
-    /// 1 == negative
-    /// 0 == non-negative
-    pub fn sgn0(&self) -> Choice {
-        let bytes = self.to_bytes();
-        (bytes[31] & 1).into()
-    }
 }
 
 impl Add<FieldElement> for FieldElement {
diff --git a/p256/src/arithmetic/hash2curve.rs b/p256/src/arithmetic/hash2curve.rs
index e07f34c15..819b043a2 100644
--- a/p256/src/arithmetic/hash2curve.rs
+++ b/p256/src/arithmetic/hash2curve.rs
@@ -48,7 +48,7 @@ impl FromOkm for FieldElement {
 
 impl Sgn0 for FieldElement {
     fn sgn0(&self) -> Choice {
-        FieldElement::sgn0(self)
+        self.is_odd()
     }
 }