Defining parameters
| Level: | \( N \) | \(=\) | \( 3400 = 2^{3} \cdot 5^{2} \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3400.be (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 680 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3400, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1104 | 656 | 448 |
| Cusp forms | 1056 | 640 | 416 |
| Eisenstein series | 48 | 16 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3400, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3400, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3400, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(680, [\chi])\)\(^{\oplus 2}\)