Defining parameters
| Level: | \( N \) | \(=\) | \( 9075 = 3 \cdot 5^{2} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9075.ei (of order \(110\) and degree \(40\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 605 \) |
| Character field: | \(\Q(\zeta_{110})\) | ||
| Sturm bound: | \(2640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9075, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 53280 | 15840 | 37440 |
| Cusp forms | 52320 | 15840 | 36480 |
| Eisenstein series | 960 | 0 | 960 |
Decomposition of \(S_{2}^{\mathrm{new}}(9075, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9075, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9075, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1815, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3025, [\chi])\)\(^{\oplus 2}\)