Defining parameters
| Level: | \( N \) | \(=\) | \( 1421 = 7^{2} \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1421.bv (of order \(21\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 203 \) |
| Character field: | \(\Q(\zeta_{21})\) | ||
| Sturm bound: | \(280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1421, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1776 | 1248 | 528 |
| Cusp forms | 1584 | 1152 | 432 |
| Eisenstein series | 192 | 96 | 96 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1421, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1421, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1421, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(203, [\chi])\)\(^{\oplus 2}\)