Defining parameters
| Level: | \( N \) | \(=\) | \( 4074 = 2 \cdot 3 \cdot 7 \cdot 97 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4074.ei (of order \(96\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 679 \) |
| Character field: | \(\Q(\zeta_{96})\) | ||
| Sturm bound: | \(1568\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4074, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 25344 | 4224 | 21120 |
| Cusp forms | 24832 | 4224 | 20608 |
| Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(4074, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4074, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4074, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(679, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1358, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2037, [\chi])\)\(^{\oplus 2}\)