Defining parameters
| Level: | \( N \) | \(=\) | \( 6275 = 5^{2} \cdot 251 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6275.l (of order \(5\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 251 \) |
| Character field: | \(\Q(\zeta_{5})\) | ||
| Sturm bound: | \(1260\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6275, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2544 | 1608 | 936 |
| Cusp forms | 2496 | 1584 | 912 |
| Eisenstein series | 48 | 24 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(6275, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6275, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6275, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(251, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1255, [\chi])\)\(^{\oplus 2}\)