This is a space of vector valued Siegel modular forms with real representation $\mathrm{Det}^{ 19}\otimes\mathrm{Sym}^{ 16 }$. The following table gives the dimensions of various subspaces of $M_{19, 16}(\mathrm{Sp}(4, \mathbb{Z}))$.
| Total | 23 |
| Non cusp | 0 |
| Cusp | 23 |