Defining parameters
Level: | \( N \) | \(=\) | \( 6724 = 2^{2} \cdot 41^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6724.o (of order \(40\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 164 \) |
Character field: | \(\Q(\zeta_{40})\) | ||
Sturm bound: | \(1722\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6724, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 14448 | 13712 | 736 |
Cusp forms | 13104 | 12496 | 608 |
Eisenstein series | 1344 | 1216 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(6724, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6724, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6724, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(164, [\chi])\)\(^{\oplus 2}\)