Properties

Label 3240.1.bj
Level 32403240
Weight 11
Character orbit 3240.bj
Rep. character χ3240(1891,)\chi_{3240}(1891,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 00
Newform subspaces 00
Sturm bound 648648
Trace bound 00

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Defining parameters

Level: N N == 3240=23345 3240 = 2^{3} \cdot 3^{4} \cdot 5
Weight: k k == 1 1
Character orbit: [χ][\chi] == 3240.bj (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 72 72
Character field: Q(ζ6)\Q(\zeta_{6})
Newform subspaces: 0 0
Sturm bound: 648648
Trace bound: 00

Dimensions

The following table gives the dimensions of various subspaces of M1(3240,[χ])M_{1}(3240, [\chi]).

Total New Old
Modular forms 68 0 68
Cusp forms 20 0 20
Eisenstein series 48 0 48

The following table gives the dimensions of subspaces with specified projective image type.

DnD_n A4A_4 S4S_4 A5A_5
Dimension 0 0 0 0

Decomposition of S1old(3240,[χ])S_{1}^{\mathrm{old}}(3240, [\chi]) into lower level spaces

S1old(3240,[χ]) S_{1}^{\mathrm{old}}(3240, [\chi]) \simeq S1new(72,[χ])S_{1}^{\mathrm{new}}(72, [\chi])6^{\oplus 6}\oplusS1new(216,[χ])S_{1}^{\mathrm{new}}(216, [\chi])4^{\oplus 4}