Defining parameters
| Level: | \( N \) | \(=\) | \( 676 = 2^{2} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 676.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 52 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(273\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(676, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 196 | 164 | 32 |
| Cusp forms | 168 | 144 | 24 |
| Eisenstein series | 28 | 20 | 8 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(676, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(676, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(676, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(52, [\chi])\)\(^{\oplus 2}\)