Defining parameters
| Level: | \( N \) | \(=\) | \( 7260 = 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7260.cm (of order \(44\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 605 \) |
| Character field: | \(\Q(\zeta_{44})\) | ||
| Sturm bound: | \(3168\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7260, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 31920 | 2640 | 29280 |
| Cusp forms | 31440 | 2640 | 28800 |
| Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(7260, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7260, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7260, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1210, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1815, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2420, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3630, [\chi])\)\(^{\oplus 2}\)