  We work out a non-trivial example of lifting a so-called weak eigenform to a
true, characteristic 0 eigenform. The weak eigenform is closely related to
Ramanujan's tau function whereas the characteristic 0 eigenform is attached to
an elliptic curve defined over ${\mathbb Q}$. We produce the lift by showing
that the coefficients of the initial, weak eigenform (almost all) occur as
traces of Frobenii in the Galois representation on the 4-torsion of the
elliptic curve. The example is remarkable as the initial form is known not to
be liftable to any characteristic 0 eigenform of level 1. We use this example
as illustrating certain questions that have arisen lately in the theory of
modular forms modulo prime powers. We give a brief survey of those questions.
