Defining parameters
| Level: | \( N \) | \(=\) | \( 6014 = 2 \cdot 31 \cdot 97 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6014.en (of order \(480\) and degree \(128\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3007 \) |
| Character field: | \(\Q(\zeta_{480})\) | ||
| Sturm bound: | \(1568\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6014, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 100864 | 33536 | 67328 |
| Cusp forms | 99840 | 33536 | 66304 |
| Eisenstein series | 1024 | 0 | 1024 |
Decomposition of \(S_{2}^{\mathrm{new}}(6014, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6014, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6014, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3007, [\chi])\)\(^{\oplus 2}\)