Defining parameters
| Level: | \( N \) | \(=\) | \( 3025 = 5^{2} \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3025.bg (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 275 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(660\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3025, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2736 | 2224 | 512 |
| Cusp forms | 2544 | 2096 | 448 |
| Eisenstein series | 192 | 128 | 64 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3025, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3025, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3025, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)