Defining parameters
| Level: | \( N \) | \(=\) | \( 39326 = 2 \cdot 7 \cdot 53^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 39326.bu (of order \(8268\) and degree \(2496\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 19663 \) |
| Character field: | \(\Q(\zeta_{8268})\) | ||
| Sturm bound: | \(11448\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(39326, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 14297088 | 4762368 | 9534720 |
| Cusp forms | 14277120 | 4762368 | 9514752 |
| Eisenstein series | 19968 | 0 | 19968 |
Decomposition of \(S_{2}^{\mathrm{new}}(39326, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(39326, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(39326, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(19663, [\chi])\)\(^{\oplus 2}\)