  The notion of the truncated Euler characteristic for Iwasawa modules is a
generalization of the the usual Euler characteristic to the case when the
cohomology groups are not finite. Let $p$ be an odd prime, $E_1$ and $E_2$ be
elliptic curves over a number field $F$ with semistable reduction at all primes
$v|p$ such that the $\operatorname{Gal}(\bar{F}/F)$-modules $E_1[p]$ and
$E_2[p]$ are irreducible and isomorphic. We compare the Iwasawa invariants of
certain imprimitive multisigned Selmer groups of $E_1$ and $E_2$. Leveraging
these results, congruence relations for the truncated Euler characteristics
associated to these Selmer groups over certain $\mathbb{Z}_p^m$-extensions of
$F$ are studied. Our results extend earlier congruence relations for elliptic
curves over $\mathbb{Q}$ with good ordinary reduction at $p$.
