Properties

Label 8325.2.bi
Level 83258325
Weight 22
Character orbit 8325.bi
Rep. character χ8325(1849,)\chi_{8325}(1849,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 13601360
Sturm bound 22802280

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Defining parameters

Level: N N == 8325=325237 8325 = 3^{2} \cdot 5^{2} \cdot 37
Weight: k k == 2 2
Character orbit: [χ][\chi] == 8325.bi (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 1665 1665
Character field: Q(ζ6)\Q(\zeta_{6})
Sturm bound: 22802280

Dimensions

The following table gives the dimensions of various subspaces of M2(8325,[χ])M_{2}(8325, [\chi]).

Total New Old
Modular forms 2304 1376 928
Cusp forms 2256 1360 896
Eisenstein series 48 16 32

Decomposition of S2new(8325,[χ])S_{2}^{\mathrm{new}}(8325, [\chi]) into newform subspaces

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

Decomposition of S2old(8325,[χ])S_{2}^{\mathrm{old}}(8325, [\chi]) into lower level spaces

S2old(8325,[χ]) S_{2}^{\mathrm{old}}(8325, [\chi]) \simeq S2new(1665,[χ])S_{2}^{\mathrm{new}}(1665, [\chi])2^{\oplus 2}