Defining parameters
Level: | \( N \) | \(=\) | \( 6040 = 2^{3} \cdot 5 \cdot 151 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6040.dp (of order \(50\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 755 \) |
Character field: | \(\Q(\zeta_{50})\) | ||
Sturm bound: | \(1824\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18400 | 4560 | 13840 |
Cusp forms | 18080 | 4560 | 13520 |
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
\( S_{2}^{\mathrm{old}}(6040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(755, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1510, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3020, [\chi])\)\(^{\oplus 2}\)