Defining parameters
Level: | \( N \) | \(=\) | \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9196.de (of order \(330\) and degree \(80\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2299 \) |
Character field: | \(\Q(\zeta_{330})\) | ||
Sturm bound: | \(2640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9196, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 106080 | 17600 | 88480 |
Cusp forms | 105120 | 17600 | 87520 |
Eisenstein series | 960 | 0 | 960 |
Decomposition of \(S_{2}^{\mathrm{new}}(9196, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9196, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9196, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2299, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4598, [\chi])\)\(^{\oplus 2}\)