Defining parameters
Level: | \( N \) | \(=\) | \( 6422 = 2 \cdot 13^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6422.bx (of order \(36\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 247 \) |
Character field: | \(\Q(\zeta_{36})\) | ||
Sturm bound: | \(1820\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6422, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11256 | 3072 | 8184 |
Cusp forms | 10584 | 3072 | 7512 |
Eisenstein series | 672 | 0 | 672 |
Decomposition of \(S_{2}^{\mathrm{new}}(6422, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6422, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6422, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(247, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(494, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3211, [\chi])\)\(^{\oplus 2}\)