  The small elliptic quantum group $e_{\tau,\gamma}(sl_N)$, introduced in the
paper, is an elliptic dynamical analogue of the universal enveloping algebra
$U(sl_n)$. We define highest weight modules, Verma modules and contragradient
modules over $e_{\tau,\gamma}(sl_N)$, the dynamical Shapovalov form for
$e_{\tau,\gamma}(sl_N)$ and the contravariant form for highest weight
$e_{\tau,\gamma}(sl_N)$-modules. We show that any finite-dimensional
$sl_N$-module and any Verma module over $sl_N$ can be lifted to the
corresponding $e_{\tau,\gamma}(sl_N)$-module on the same vector space. For the
elliptic quantum group $E_{\tau,\gamma}(sl_N)$ we construct the evaluation
morphism $E_{\tau,\gamma}(sl_N)\to e_{\tau,\gamma}(sl_N)$, thus making any
$e_{\tau,\gamma}(sl_N)$-module into an evaluation
$E_{\tau,\gamma}(sl_N)$-module.
