Defining parameters
| Level: | \( N \) | \(=\) | \( 2368 = 2^{6} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2368.w (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 37 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(608\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2368, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 632 | 156 | 476 |
| Cusp forms | 584 | 148 | 436 |
| Eisenstein series | 48 | 8 | 40 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2368, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2368, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2368, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(37, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(74, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(148, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(296, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(592, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1184, [\chi])\)\(^{\oplus 2}\)