Defining parameters
| Level: | \( N \) | \(=\) | \( 3392 = 2^{6} \cdot 53 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3392.bu (of order \(52\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 212 \) |
| Character field: | \(\Q(\zeta_{52})\) | ||
| Sturm bound: | \(864\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3392, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10656 | 2640 | 8016 |
| Cusp forms | 10080 | 2544 | 7536 |
| Eisenstein series | 576 | 96 | 480 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3392, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3392, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3392, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(212, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(848, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1696, [\chi])\)\(^{\oplus 2}\)