Dimension table of spaces of degree 2 Siegel modular forms
The table below lists, for each bold value of $k$ in the header, the dimensions of the following subspaces of $M_{k-1/2}\left(\Gamma_0(4)\right)$:
- Total: The full space.
- Non cusp: The codimension of the subspace of cusp forms.
- Cusp: The subspace of cusp forms.
$1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ | $9$ | $10$ | $11$ | $12$ | $13$ | $14$ | $15$ | $16$ | $17$ | $18$ | $19$ | $20$ | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Total | 1 | 1 | 3 | 4 | 7 | 9 | 14 | 17 | 24 | 29 | 38 | 45 | 57 | 66 | 81 | 93 | 111 | 126 | 148 | 166 |
Non cusp | 1 | 1 | 3 | 4 | 7 | 7 | 10 | 12 | 17 | 20 | 27 | 32 | 41 | 48 | 60 | 69 | 84 | 96 | 114 | 129 |
Cusp | 0 | 0 | 0 | 0 | 0 | 2 | 4 | 5 | 7 | 9 | 11 | 13 | 16 | 18 | 21 | 24 | 27 | 30 | 34 | 37 |