  In this paper we give an explicit presentation of the centre of the
restricted rational Cherednik algebra
$\overline{H}_c(S_n\wr\mathbb{Z}/\ell\mathbb{Z})$ for a particular choice of
parameter $c$. More precisely, we describe the centre of the indecomposable
blocks of $\overline{H}_c(S_n\wr\mathbb{Z}/\ell\mathbb{Z})$ in terms of
generators and relations. The parameters $c$ for which this presentation is
valid are such that the Calogero-Moser space is smooth. Furthermore, we
demonstrate how the explicit presentation of the centre of
$\overline{H}_c(S_n\wr\mathbb{Z}/\ell\mathbb{Z})$ can be directly derived from
the set of $\ell$-multipartitions of $n$.
