Defining parameters
| Level: | \( N \) | \(=\) | \( 7488 = 2^{6} \cdot 3^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7488.gz (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 117 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7488, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5472 | 1360 | 4112 |
| Cusp forms | 5280 | 1328 | 3952 |
| Eisenstein series | 192 | 32 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(7488, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7488, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7488, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(117, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(234, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(468, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(936, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1872, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3744, [\chi])\)\(^{\oplus 2}\)