Defining parameters
| Level: | \( N \) | \(=\) | \( 15210 = 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 15210.gk (of order \(156\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7605 \) |
| Character field: | \(\Q(\zeta_{156})\) | ||
| Sturm bound: | \(6552\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(15210, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 157632 | 52416 | 105216 |
| Cusp forms | 156864 | 52416 | 104448 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(15210, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(15210, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(15210, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(7605, [\chi])\)\(^{\oplus 2}\)