Defining parameters
| Level: | \( N \) | \(=\) | \( 10470 = 2 \cdot 3 \cdot 5 \cdot 349 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 10470.ct (of order \(348\) and degree \(112\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5235 \) |
| Character field: | \(\Q(\zeta_{348})\) | ||
| Sturm bound: | \(4200\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(10470, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 236096 | 78400 | 157696 |
| Cusp forms | 234304 | 78400 | 155904 |
| Eisenstein series | 1792 | 0 | 1792 |
Decomposition of \(S_{2}^{\mathrm{new}}(10470, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(10470, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(10470, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(5235, [\chi])\)\(^{\oplus 2}\)