Defining parameters
Level: | \( N \) | \(=\) | \( 5780 = 2^{2} \cdot 5 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5780.cn (of order \(272\) and degree \(128\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1445 \) |
Character field: | \(\Q(\zeta_{272})\) | ||
Sturm bound: | \(1836\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5780, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 118272 | 19584 | 98688 |
Cusp forms | 116736 | 19584 | 97152 |
Eisenstein series | 1536 | 0 | 1536 |
Decomposition of \(S_{2}^{\mathrm{new}}(5780, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5780, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5780, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2890, [\chi])\)\(^{\oplus 2}\)