Defining parameters
| Level: | \( N \) | \(=\) | \( 3064 = 2^{3} \cdot 383 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3064.p (of order \(382\) and degree \(190\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1532 \) |
| Character field: | \(\Q(\zeta_{382})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(768\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3064, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 73720 | 0 | 73720 |
| Cusp forms | 72200 | 0 | 72200 |
| Eisenstein series | 1520 | 0 | 1520 |
Decomposition of \(S_{2}^{\mathrm{old}}(3064, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3064, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1532, [\chi])\)\(^{\oplus 2}\)