Defining parameters
| Level: | \( N \) | \(=\) | \( 4140 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4140.cc (of order \(22\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 115 \) |
| Character field: | \(\Q(\zeta_{22})\) | ||
| Sturm bound: | \(2592\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(4140, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17520 | 1200 | 16320 |
| Cusp forms | 17040 | 1200 | 15840 |
| Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{3}^{\mathrm{new}}(4140, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(4140, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(4140, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(115, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(230, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(345, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(690, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(1035, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(1380, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(2070, [\chi])\)\(^{\oplus 2}\)