Defining parameters
Level: | \( N \) | \(=\) | \( 6272 = 2^{7} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6272.cl (of order \(48\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 448 \) |
Character field: | \(\Q(\zeta_{48})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1792\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6272, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 14592 | 0 | 14592 |
Cusp forms | 14080 | 0 | 14080 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{old}}(6272, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6272, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(896, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3136, [\chi])\)\(^{\oplus 2}\)