Defining parameters
| Level: | \( N \) | \(=\) | \( 7280 = 2^{4} \cdot 5 \cdot 7 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7280.fb (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 455 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7280, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2736 | 680 | 2056 |
| Cusp forms | 2640 | 664 | 1976 |
| Eisenstein series | 96 | 16 | 80 |
Decomposition of \(S_{2}^{\mathrm{new}}(7280, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7280, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(455, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(910, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1820, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3640, [\chi])\)\(^{\oplus 2}\)