This is a space of vector valued Siegel modular forms with real representation $\mathrm{Det}^{ 20}\otimes\mathrm{Sym}^{ 2 }$. The following table gives the dimensions of various subspaces of $M_{20, 2}(\mathrm{Sp}(4, \mathbb{Z}))$.
Total | 5 |
Eisenstein | 1 |
Klingen | 1 |
Maass | 2 |
Interesting | 1 |
The following samples live in this space.
20_C1 20_C2 20_E