Defining parameters
Level: | \( N \) | \(=\) | \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9196.bp (of order \(30\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 836 \) |
Character field: | \(\Q(\zeta_{30})\) | ||
Sturm bound: | \(2640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9196, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 10752 | 8768 | 1984 |
Cusp forms | 10368 | 8512 | 1856 |
Eisenstein series | 384 | 256 | 128 |
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
\( S_{2}^{\mathrm{old}}(9196, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 2}\)