Defining parameters
| Level: | \( N \) | \(=\) | \( 1480 = 2^{3} \cdot 5 \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1480.dr (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 296 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1480, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1392 | 912 | 480 |
| Cusp forms | 1344 | 912 | 432 |
| Eisenstein series | 48 | 0 | 48 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1480, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1480, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1480, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(296, [\chi])\)\(^{\oplus 2}\)