Defining parameters
| Level: | \( N \) | \(=\) | \( 2156 = 2^{2} \cdot 7^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2156.bi (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 77 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2156, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2880 | 320 | 2560 |
| Cusp forms | 2496 | 320 | 2176 |
| Eisenstein series | 384 | 0 | 384 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2156, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2156, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2156, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(154, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(308, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1078, [\chi])\)\(^{\oplus 2}\)