Defining parameters
Level: | \( N \) | \(=\) | \( 4015 = 5 \cdot 11 \cdot 73 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4015.h (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 73 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(888\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4015, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 448 | 244 | 204 |
Cusp forms | 440 | 244 | 196 |
Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(4015, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4015, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4015, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(73, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(365, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(803, [\chi])\)\(^{\oplus 2}\)