Defining parameters
Level: | \( N \) | \(=\) | \( 8027 = 23 \cdot 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8027.q (of order \(29\) and degree \(28\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 349 \) |
Character field: | \(\Q(\zeta_{29})\) | ||
Sturm bound: | \(1400\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8027, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 19656 | 18032 | 1624 |
Cusp forms | 19544 | 18032 | 1512 |
Eisenstein series | 112 | 0 | 112 |
Decomposition of \(S_{2}^{\mathrm{new}}(8027, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8027, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(349, [\chi])\)\(^{\oplus 2}\)