Defining parameters
Level: | \( N \) | \(=\) | \( 6615 = 3^{3} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6615.cq (of order \(14\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 245 \) |
Character field: | \(\Q(\zeta_{14})\) | ||
Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6615, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6120 | 2688 | 3432 |
Cusp forms | 5976 | 2688 | 3288 |
Eisenstein series | 144 | 0 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(6615, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6615, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6615, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2205, [\chi])\)\(^{\oplus 2}\)