Defining parameters
| Level: | \( N \) | \(=\) | \( 6223 = 7^{2} \cdot 127 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6223.ho (of order \(63\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 127 \) |
| Character field: | \(\Q(\zeta_{63})\) | ||
| Sturm bound: | \(1194\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6223, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 21816 | 15912 | 5904 |
| Cusp forms | 21240 | 15552 | 5688 |
| Eisenstein series | 576 | 360 | 216 |
Decomposition of \(S_{2}^{\mathrm{new}}(6223, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6223, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6223, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(127, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(889, [\chi])\)\(^{\oplus 2}\)