Properties

Label 8800.2.g
Level 88008800
Weight 22
Character orbit 8800.g
Rep. character χ8800(4401,)\chi_{8800}(4401,\cdot)
Character field Q\Q
Dimension 190190
Sturm bound 28802880

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Defining parameters

Level: N N == 8800=255211 8800 = 2^{5} \cdot 5^{2} \cdot 11
Weight: k k == 2 2
Character orbit: [χ][\chi] == 8800.g (of order 22 and degree 11)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 8 8
Character field: Q\Q
Sturm bound: 28802880

Dimensions

The following table gives the dimensions of various subspaces of M2(8800,[χ])M_{2}(8800, [\chi]).

Total New Old
Modular forms 1488 190 1298
Cusp forms 1392 190 1202
Eisenstein series 96 0 96

Decomposition of S2new(8800,[χ])S_{2}^{\mathrm{new}}(8800, [\chi]) into newform subspaces

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

Decomposition of S2old(8800,[χ])S_{2}^{\mathrm{old}}(8800, [\chi]) into lower level spaces