Defining parameters
| Level: | \( N \) | \(=\) | \( 2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2100.m (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 84 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(2100, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 984 | 620 | 364 |
| Cusp forms | 936 | 596 | 340 |
| Eisenstein series | 48 | 24 | 24 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(2100, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(2100, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(2100, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(84, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(420, [\chi])\)\(^{\oplus 2}\)