page_title: Twisted Edwards curve
hierarchical_section_title: Twisted Edwards curve
context_page_description: In algebraic geometry, the twisted Edwards curves are plane models of elliptic curves, a generalisation of Edwards curves introduced by Bernstein, Birkner, Joye, Lange and Peters in 2008. The curve set is named after mathematician Harold M. Edwards. Elliptic curves are important in public key cryptography and twisted Edwards curves are at the heart of an electronic signature scheme called EdDSA that offers high performance while avoiding security problems that have surfaced in other digital signature schemes.
context_section_description: In algebraic geometry, the twisted Edwards curves are plane models of elliptic curves, a generalisation of Edwards curves introduced by Bernstein, Birkner, Joye, Lange and Peters in 2008. The curve set is named after mathematician Harold M. Edwards. Elliptic curves are important in public key cryptography and twisted Edwards curves are at the heart of an electronic signature scheme called EdDSA that offers high performance while avoiding security problems that have surfaced in other digital signature schemes.
caption: A twisted Edwards curve of equation 
    
      
        
          10
          
            x
            
              2
            
          
          +
          
            y
            
              2
            
          
          =
          1
          +
          6
          
            x
            
              2
            
          
          
            y
            
              2
            
          
        
      
      {\displaystyle 10x^{2}+y^{2}=1+6x^{2}y^{2}}