Defining parameters
| Level: | \( N \) | \(=\) | \( 2940 = 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2940.ba (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 420 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2940, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1408 | 992 | 416 |
| Cusp forms | 1280 | 928 | 352 |
| Eisenstein series | 128 | 64 | 64 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2940, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2940, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2940, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(420, [\chi])\)\(^{\oplus 2}\)