Defining parameters
Level: | \( N \) | \(=\) | \( 2646 = 2 \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2646.ci (of order \(126\) and degree \(36\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1323 \) |
Character field: | \(\Q(\zeta_{126})\) | ||
Sturm bound: | \(1008\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2646, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18288 | 6048 | 12240 |
Cusp forms | 18000 | 6048 | 11952 |
Eisenstein series | 288 | 0 | 288 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2646, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2646, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2646, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1323, [\chi])\)\(^{\oplus 2}\)