Defining parameters
Level: | \( N \) | \(=\) | \( 9464 = 2^{3} \cdot 7 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9464.i (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 104 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(2912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9464, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1484 | 924 | 560 |
Cusp forms | 1428 | 924 | 504 |
Eisenstein series | 56 | 0 | 56 |
Decomposition of \(S_{2}^{\mathrm{new}}(9464, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9464, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9464, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1352, [\chi])\)\(^{\oplus 2}\)