Defining parameters
Level: | \( N \) | \(=\) | \( 5390 = 2 \cdot 5 \cdot 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5390.bl (of order \(14\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 539 \) |
Character field: | \(\Q(\zeta_{14})\) | ||
Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5390, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6096 | 1344 | 4752 |
Cusp forms | 6000 | 1344 | 4656 |
Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(5390, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5390, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5390, [\chi]) \cong \)