Defining parameters
| Level: | \( N \) | \(=\) | \( 1920 = 2^{7} \cdot 3 \cdot 5 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1920.bf (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 240 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(768\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1920, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 832 | 208 | 624 |
| Cusp forms | 704 | 176 | 528 |
| Eisenstein series | 128 | 32 | 96 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1920, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1920, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1920, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(240, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(960, [\chi])\)\(^{\oplus 2}\)