Formes modulaires modulo 2 : structure de l'alg\`ebre de Hecke
  Modular forms mod 2 : structure of the Hecke ring   We show that the Hecke algebra for modular forms mod 2 of level 1 is isomorphic to the power series ring F2[[x, y]], where x = T3 and y = T5. 
Jean-Louis Nicolas and Jean-Pierre Serre
math.NT