Defining parameters
Level: | \( N \) | \(=\) | \( 9075 = 3 \cdot 5^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9075.ci (of order \(11\) and degree \(10\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 121 \) |
Character field: | \(\Q(\zeta_{11})\) | ||
Sturm bound: | \(2640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9075, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 13320 | 4180 | 9140 |
Cusp forms | 13080 | 4180 | 8900 |
Eisenstein series | 240 | 0 | 240 |
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
\( S_{2}^{\mathrm{old}}(9075, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1815, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3025, [\chi])\)\(^{\oplus 2}\)