Defining parameters
| Level: | \( N \) | \(=\) | \( 1221 = 3 \cdot 11 \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1221.cb (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 111 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Sturm bound: | \(304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1221, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1872 | 1512 | 360 |
| Cusp forms | 1776 | 1512 | 264 |
| Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1221, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1221, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1221, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(111, [\chi])\)\(^{\oplus 2}\)