Defining parameters
| Level: | \( N \) | \(=\) | \( 1156 = 2^{2} \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1156.n (of order \(34\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 289 \) |
| Character field: | \(\Q(\zeta_{34})\) | ||
| Sturm bound: | \(306\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1156, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2496 | 416 | 2080 |
| Cusp forms | 2400 | 416 | 1984 |
| Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1156, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1156, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1156, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(578, [\chi])\)\(^{\oplus 2}\)