Defining parameters
| Level: | \( N \) | \(=\) | \( 4232 = 2^{3} \cdot 23^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4232.i (of order \(11\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 23 \) |
| Character field: | \(\Q(\zeta_{11})\) | ||
| Sturm bound: | \(1104\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4232, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6000 | 1260 | 4740 |
| Cusp forms | 5040 | 1260 | 3780 |
| Eisenstein series | 960 | 0 | 960 |
Decomposition of \(S_{2}^{\mathrm{new}}(4232, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4232, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4232, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(46, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(184, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(529, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1058, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2116, [\chi])\)\(^{\oplus 2}\)