Defining parameters
| Level: | \( N \) | \(=\) | \( 7360 = 2^{6} \cdot 5 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7360.fi (of order \(176\) and degree \(80\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1472 \) |
| Character field: | \(\Q(\zeta_{176})\) | ||
| Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7360, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 92480 | 61440 | 31040 |
| Cusp forms | 91840 | 61440 | 30400 |
| Eisenstein series | 640 | 0 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(7360, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7360, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7360, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1472, [\chi])\)\(^{\oplus 2}\)