  We construct a dga to computing the cohomology of ordered configuration
spaces on an algebraic variety with vanishing Euler characteristic. It follows
that the $k$-th Betti number of $Conf(C,n)$ ($C$ is an elliptic curve) grows as
a polynomial of degree exactly $2k-2$. We also compute $H^k(Conf(C,n))$ for $k
\leq 5$ and arbitrary $n$.
