Defining parameters
| Level: | \( N \) | \(=\) | \( 6848 = 2^{6} \cdot 107 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6848.c (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 428 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6848, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 876 | 218 | 658 |
| Cusp forms | 852 | 214 | 638 |
| Eisenstein series | 24 | 4 | 20 |
Decomposition of \(S_{2}^{\mathrm{new}}(6848, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6848, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6848, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(428, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1712, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3424, [\chi])\)\(^{\oplus 2}\)