Properties

Label 8820.2.co
Level $8820$
Weight $2$
Character orbit 8820.co
Rep. character $\chi_{8820}(509,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $480$
Sturm bound $4032$

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Defining parameters

Level: \( N \) \(=\) \( 8820 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8820.co (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 315 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(4032\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8820, [\chi])\).

Total New Old
Modular forms 4128 480 3648
Cusp forms 3936 480 3456
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(8820, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(8820, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8820, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(315, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(630, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1260, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2205, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4410, [\chi])\)\(^{\oplus 2}\)