Defining parameters
Level: | \( N \) | \(=\) | \( 6760 = 2^{3} \cdot 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6760.cl (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 65 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(2184\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6760, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4592 | 924 | 3668 |
Cusp forms | 4144 | 924 | 3220 |
Eisenstein series | 448 | 0 | 448 |
Decomposition of \(S_{2}^{\mathrm{new}}(6760, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6760, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6760, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(130, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(65, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(260, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(520, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1690, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3380, [\chi])\)\(^{\oplus 2}\)