  Consider the genus one Hurwitz space $\mathcal{H}_1(n_0,\dots,n_m)$ of
ramified covering of fixed degree with $m+1$ prescribed poles of order
$n_0+1,\dots,n_m+1$, respectively. Based on a recent formula proved in
\cite{Rejeb23}, we derive an explicit solution to the WDVV equations associated
with the genus one Dubrovin-Hurwitz-Frobenius manifold structure induced by the
normalized holomorphic differential. The obtained solution is written in terms
of Bell polynomials, Eisenstein series as well as the Weierstrass functions.
