Defining parameters
Level: | \( N \) | \(=\) | \( 5390 = 2 \cdot 5 \cdot 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5390.cq (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 385 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5390, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 16640 | 3840 | 12800 |
Cusp forms | 15616 | 3840 | 11776 |
Eisenstein series | 1024 | 0 | 1024 |
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
\( S_{2}^{\mathrm{old}}(5390, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(770, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2695, [\chi])\)\(^{\oplus 2}\)