Defining parameters
| Level: | \( N \) | \(=\) | \( 1980 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1980.dj (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 495 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(864\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1980, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3552 | 576 | 2976 |
| Cusp forms | 3360 | 576 | 2784 |
| Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1980, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1980, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1980, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(495, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(990, [\chi])\)\(^{\oplus 2}\)