Defining parameters
Level: | \( N \) | \(=\) | \( 4368 = 2^{4} \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4368.cc (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1456 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4368, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1808 | 896 | 912 |
Cusp forms | 1776 | 896 | 880 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(4368, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4368, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4368, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1456, [\chi])\)\(^{\oplus 2}\)