On higher congruences between cusp forms and Eisenstein series
  In this paper we present several finite families of congruences between cusp forms and Eisenstein series of higher weights at powers of prime ideals. We formulate a conjecture which describes properties of the prime ideals and their relation to the weights. We check the validity of the conjecture on several numerical examples. 
Bartosz Naskr\k{e}cki
math.NT