Defining parameters
Level: | \( N \) | \(=\) | \( 4620 = 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4620.gx (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1155 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(2304\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4620, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18816 | 3072 | 15744 |
Cusp forms | 18048 | 3072 | 14976 |
Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(4620, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4620, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4620, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2310, [\chi])\)\(^{\oplus 2}\)