Defining parameters
Level: | \( N \) | \(=\) | \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9196.be (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 76 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Sturm bound: | \(2640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9196, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8064 | 6648 | 1416 |
Cusp forms | 7776 | 6432 | 1344 |
Eisenstein series | 288 | 216 | 72 |
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
\( S_{2}^{\mathrm{old}}(9196, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 2}\)