This is easy to determine by the known closed formulae for $\dim \mathcal{S}_k\left(\Gamma_0(N)\right)$ and $\dim \mathcal{M}_k\left(\Gamma_0(N)\right)$, namely for $k \geq 4$ even and $N \geq 1$, \begin{align} \dim \mathcal{S}_k\left(\Gamma_0(N)\right) & = (k - 1) \left(g_0(N) - 1\right) + \left(\frac{k}{2} - 1\right) c_0(N) + \mu_{0,2}(N) \left\lfloor \frac{k}{4}\right\rfloor + \mu_{0,3}(N) \left\lfloor \frac{k}{3}\right\rfloor \end{align}