Defining parameters
| Level: | \( N \) | \(=\) | \( 6036 = 2^{2} \cdot 3 \cdot 503 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6036.i (of order \(251\) and degree \(250\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 503 \) |
| Character field: | \(\Q(\zeta_{251})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6036, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 253500 | 21000 | 232500 |
| Cusp forms | 250500 | 21000 | 229500 |
| Eisenstein series | 3000 | 0 | 3000 |
Decomposition of \(S_{2}^{\mathrm{new}}(6036, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6036, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(503, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1006, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1509, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2012, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3018, [\chi])\)\(^{\oplus 2}\)