Defining parameters
| Level: | \( N \) | \(=\) | \( 6615 = 3^{3} \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6615.ff (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2205 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6615, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12240 | 4080 | 8160 |
| Cusp forms | 11952 | 3984 | 7968 |
| Eisenstein series | 288 | 96 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(6615, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6615, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6615, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2205, [\chi])\)\(^{\oplus 2}\)