Defining parameters
| Level: | \( N \) | \(=\) | \( 5488 = 2^{4} \cdot 7^{3} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5488.bl (of order \(42\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 392 \) |
| Character field: | \(\Q(\zeta_{42})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(1568\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5488, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9744 | 0 | 9744 |
| Cusp forms | 9072 | 0 | 9072 |
| Eisenstein series | 672 | 0 | 672 |
Decomposition of \(S_{2}^{\mathrm{old}}(5488, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5488, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(392, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(784, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2744, [\chi])\)\(^{\oplus 2}\)