The j-invariant j of a
Drinfeld module of rank 2 on Fq[T] over C determine an isomorphism class of
Drinfeld modules over C. But for singular Drinfeld modules the pair (j,χ) of
a singular j-invariant j and an algebraic Hecke character χ represent an
H-isomorphism class of singular Drinfeld modules, where H is the Hilbert class field
of certain imaginary quadratic function field.