Properties

Label 1224.2.bk
Level 12241224
Weight 22
Character orbit 1224.bk
Rep. character χ1224(239,)\chi_{1224}(239,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 00
Newform subspaces 00
Sturm bound 432432
Trace bound 00

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Defining parameters

Level: N N == 1224=233217 1224 = 2^{3} \cdot 3^{2} \cdot 17
Weight: k k == 2 2
Character orbit: [χ][\chi] == 1224.bk (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 36 36
Character field: Q(ζ6)\Q(\zeta_{6})
Newform subspaces: 0 0
Sturm bound: 432432
Trace bound: 00

Dimensions

The following table gives the dimensions of various subspaces of M2(1224,[χ])M_{2}(1224, [\chi]).

Total New Old
Modular forms 448 0 448
Cusp forms 416 0 416
Eisenstein series 32 0 32

Decomposition of S2old(1224,[χ])S_{2}^{\mathrm{old}}(1224, [\chi]) into lower level spaces

S2old(1224,[χ]) S_{2}^{\mathrm{old}}(1224, [\chi]) \simeq S2new(36,[χ])S_{2}^{\mathrm{new}}(36, [\chi])4^{\oplus 4}\oplusS2new(612,[χ])S_{2}^{\mathrm{new}}(612, [\chi])2^{\oplus 2}