Defining parameters
| Level: | \( N \) | \(=\) | \( 6040 = 2^{3} \cdot 5 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6040.cv (of order \(25\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 151 \) |
| Character field: | \(\Q(\zeta_{25})\) | ||
| Sturm bound: | \(1824\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 18400 | 3040 | 15360 |
| Cusp forms | 18080 | 3040 | 15040 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(6040, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6040, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(151, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(302, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(604, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(755, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1208, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1510, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3020, [\chi])\)\(^{\oplus 2}\)