  For every number field $\mathbb{K}$, with $[\mathbb{K}:\mathbb{Q}] \geq 3$,
we show that the number of non-associates of the same norm in a full module in
$\mathbb{K}$ does not depend only on $\mathbb{K}$, but can also depend on the
module itself. As a corollary, the same can be true for the number of families
of solutions of degenerate norm form equations. So the uniform bound obtained
by Schmidt for the number of solutions in the non-degenerate case does not
always hold in the degenerate case. For three-variable norm forms not arising
from full modules, we do obtain a Schmidt-type bound for the number of families
of solutions that, together with the above result, completes this aspect of the
study of three-variable norm forms.
