Defining parameters
| Level: | \( N \) | \(=\) | \( 9438 = 2 \cdot 3 \cdot 11^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9438.bj (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 429 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(3696\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9438, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15168 | 4032 | 11136 |
| Cusp forms | 14400 | 4032 | 10368 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(9438, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9438, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9438, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(858, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4719, [\chi])\)\(^{\oplus 2}\)