Properties

Label 8820.2.dc
Level 88208820
Weight 22
Character orbit 8820.dc
Rep. character χ8820(4049,)\chi_{8820}(4049,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 160160
Sturm bound 40324032

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Defining parameters

Level: N N == 8820=2232572 8820 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2}
Weight: k k == 2 2
Character orbit: [χ][\chi] == 8820.dc (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 105 105
Character field: Q(ζ6)\Q(\zeta_{6})
Sturm bound: 40324032

Dimensions

The following table gives the dimensions of various subspaces of M2(8820,[χ])M_{2}(8820, [\chi]).

Total New Old
Modular forms 4224 160 4064
Cusp forms 3840 160 3680
Eisenstein series 384 0 384

Decomposition of S2new(8820,[χ])S_{2}^{\mathrm{new}}(8820, [\chi]) into newform subspaces

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

Decomposition of S2old(8820,[χ])S_{2}^{\mathrm{old}}(8820, [\chi]) into lower level spaces