Defining parameters
| Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 10 \) |
| Character orbit: | \([\chi]\) | \(=\) | 280.h (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 56 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(480\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(280, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 436 | 288 | 148 |
| Cusp forms | 428 | 288 | 140 |
| Eisenstein series | 8 | 0 | 8 |
Trace form
Decomposition of \(S_{10}^{\mathrm{new}}(280, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{10}^{\mathrm{old}}(280, [\chi])\) into lower level spaces
\( S_{10}^{\mathrm{old}}(280, [\chi]) \simeq \) \(S_{10}^{\mathrm{new}}(56, [\chi])\)\(^{\oplus 2}\)