Defining parameters
| Level: | \( N \) | \(=\) | \( 1682 = 2 \cdot 29^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1682.e (of order \(14\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 29 \) |
| Character field: | \(\Q(\zeta_{14})\) | ||
| Sturm bound: | \(435\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1682, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1488 | 408 | 1080 |
| Cusp forms | 1128 | 408 | 720 |
| Eisenstein series | 360 | 0 | 360 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1682, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1682, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1682, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(29, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(58, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(841, [\chi])\)\(^{\oplus 2}\)