diff --git a/lib/jwt/jwa/ecdsa.rb b/lib/jwt/jwa/ecdsa.rb
index 5c842972..abc7246e 100644
--- a/lib/jwt/jwa/ecdsa.rb
+++ b/lib/jwt/jwa/ecdsa.rb
@@ -5,10 +5,9 @@ module JWA
     class Ecdsa
       include JWT::JWA::SigningAlgorithm
 
-      def initialize(alg, digest, curve_name)
+      def initialize(alg, digest)
         @alg = alg
         @digest = OpenSSL::Digest.new(digest)
-        @curve_name = curve_name
       end
 
       def sign(data:, signing_key:)
@@ -56,8 +55,8 @@ def verify(data:, signature:, verification_key:)
         }
       }.freeze
 
-      NAMED_CURVES.each do |curve_name, v|
-        register_algorithm(new(v[:algorithm], v[:digest], curve_name))
+      NAMED_CURVES.each_value do |v|
+        register_algorithm(new(v[:algorithm], v[:digest]))
       end
 
       def self.curve_by_name(name)
@@ -68,7 +67,7 @@ def self.curve_by_name(name)
 
       private
 
-      attr_reader :curve_name, :digest
+      attr_reader :digest
 
       def curve_by_name(name)
         self.class.curve_by_name(name)