Defining parameters
| Level: | \( N \) | \(=\) | \( 3700 = 2^{2} \cdot 5^{2} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3700.dk (of order \(45\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 925 \) |
| Character field: | \(\Q(\zeta_{45})\) | ||
| Sturm bound: | \(1140\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3700, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 13824 | 2304 | 11520 |
| Cusp forms | 13536 | 2304 | 11232 |
| Eisenstein series | 288 | 0 | 288 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3700, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3700, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3700, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(925, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1850, [\chi])\)\(^{\oplus 2}\)