Defining parameters
Level: | \( N \) | \(=\) | \( 4730 = 2 \cdot 5 \cdot 11 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4730.bn (of order \(14\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 473 \) |
Character field: | \(\Q(\zeta_{14})\) | ||
Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4730, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4800 | 1056 | 3744 |
Cusp forms | 4704 | 1056 | 3648 |
Eisenstein series | 96 | 0 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(4730, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4730, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4730, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(473, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(946, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2365, [\chi])\)\(^{\oplus 2}\)