Defining parameters
Level: | \( N \) | \(=\) | \( 8021 = 13 \cdot 617 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8021.bv (of order \(44\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 617 \) |
Character field: | \(\Q(\zeta_{44})\) | ||
Sturm bound: | \(1442\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8021, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 14480 | 12360 | 2120 |
Cusp forms | 14400 | 12360 | 2040 |
Eisenstein series | 80 | 0 | 80 |
Decomposition of \(S_{2}^{\mathrm{new}}(8021, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8021, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8021, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(617, [\chi])\)\(^{\oplus 2}\)