Defining parameters
Level: | \( N \) | \(=\) | \( 9075 = 3 \cdot 5^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9075.eo (of order \(110\) and degree \(40\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 9075 \) |
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 | 52960 | 52960 | 0 |
Cusp forms | 52640 | 52640 | 0 |
Eisenstein series | 320 | 320 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(9075, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.