Defining parameters
| Level: | \( N \) | \(=\) | \( 35280 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 35280.ut (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 196 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Sturm bound: | \(16128\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(35280, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 97344 | 6720 | 90624 |
| Cusp forms | 96192 | 6720 | 89472 |
| Eisenstein series | 1152 | 0 | 1152 |
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
\( S_{2}^{\mathrm{old}}(35280, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(196, [\chi])\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(588, [\chi])\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(784, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1764, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2352, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2940, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3920, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(7056, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(8820, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(11760, [\chi])\)\(^{\oplus 2}\)