  There are classical congruences between the class number of an imaginary
quadratic field and a Bernoulli number or an Euler number. Under the BSD
conjecture, Onishi obtained an elliptic generalization of these congruences,
which gives congruences between the order of the Tate-Shafarevich group of
certain elliptic curves with CM by the Gauss integers ring and Mordell-Weil
rank 0, and a coefficient of power series expansion of an elliptic function
associated to Gauss integers ring. In this paper, we provide Onishi's type
congruences for the Eisenstein integers case.
