Defining parameters
| Level: | \( N \) | \(=\) | \( 3675 = 3 \cdot 5^{2} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3675.bc (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 525 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(1120\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3675, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2304 | 1632 | 672 |
| Cusp forms | 2176 | 1568 | 608 |
| Eisenstein series | 128 | 64 | 64 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3675, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3675, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3675, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(525, [\chi])\)\(^{\oplus 2}\)