Defining parameters
Level: | \( N \) | \(=\) | \( 6012 = 2^{2} \cdot 3^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6012.q (of order \(83\) and degree \(82\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 167 \) |
Character field: | \(\Q(\zeta_{83})\) | ||
Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6012, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 83640 | 5740 | 77900 |
Cusp forms | 81672 | 5740 | 75932 |
Eisenstein series | 1968 | 0 | 1968 |
Decomposition of \(S_{2}^{\mathrm{new}}(6012, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6012, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6012, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(167, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(334, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(501, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(668, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1002, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1503, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2004, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3006, [\chi])\)\(^{\oplus 2}\)