Defining parameters
| Level: | \( N \) | \(=\) | \( 7056 = 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7056.il (of order \(84\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 784 \) |
| Character field: | \(\Q(\zeta_{84})\) | ||
| Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7056, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 32448 | 13488 | 18960 |
| Cusp forms | 32064 | 13392 | 18672 |
| Eisenstein series | 384 | 96 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(7056, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7056, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7056, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(784, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2352, [\chi])\)\(^{\oplus 2}\)