Defining parameters
| Level: | \( N \) | \(=\) | \( 25410 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 25410.gi (of order \(220\) and degree \(80\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1815 \) |
| Character field: | \(\Q(\zeta_{220})\) | ||
| Sturm bound: | \(12672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(25410, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 508160 | 126720 | 381440 |
| Cusp forms | 505600 | 126720 | 378880 |
| Eisenstein series | 2560 | 0 | 2560 |
Decomposition of \(S_{2}^{\mathrm{new}}(25410, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(25410, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(25410, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1815, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3630, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(12705, [\chi])\)\(^{\oplus 2}\)