Defining parameters
| Level: | \( N \) | \(=\) | \( 1452 = 2^{2} \cdot 3 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1452.m (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 33 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(1452, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2256 | 288 | 1968 |
| Cusp forms | 1968 | 288 | 1680 |
| Eisenstein series | 288 | 0 | 288 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(1452, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(1452, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(1452, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(33, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(66, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(132, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(726, [\chi])\)\(^{\oplus 2}\)