Properties

Label 3240.1.cw
Level 32403240
Weight 11
Character orbit 3240.cw
Rep. character χ3240(101,)\chi_{3240}(101,\cdot)
Character field Q(ζ54)\Q(\zeta_{54})
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.cw (of order 5454 and degree 1818)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 648 648
Character field: Q(ζ54)\Q(\zeta_{54})
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 72 0 72
Cusp forms 0 0 0
Eisenstein series 72 0 72

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