Defining parameters
| Level: | \( N \) | \(=\) | \( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2205.cn (of order \(14\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 245 \) |
| Character field: | \(\Q(\zeta_{14})\) | ||
| Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2205, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2064 | 852 | 1212 |
| Cusp forms | 1968 | 828 | 1140 |
| Eisenstein series | 96 | 24 | 72 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2205, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2205, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2205, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 2}\)