Defining parameters
| Level: | \( N \) | \(=\) | \( 35280 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 35280.ca (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1680 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(16128\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(35280, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 16256 | 3840 | 12416 |
| Cusp forms | 16000 | 3840 | 12160 |
| Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(35280, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(35280, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(35280, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1680, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(5040, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(11760, [\chi])\)\(^{\oplus 2}\)