Properties

Label 1224.2.cz
Level 12241224
Weight 22
Character orbit 1224.cz
Rep. character χ1224(5,)\chi_{1224}(5,\cdot)
Character field Q(ζ48)\Q(\zeta_{48})
Dimension 33923392
Sturm bound 432432

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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.cz (of order 4848 and degree 1616)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 1224 1224
Character field: Q(ζ48)\Q(\zeta_{48})
Sturm bound: 432432

Dimensions

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

Total New Old
Modular forms 3520 3520 0
Cusp forms 3392 3392 0
Eisenstein series 128 128 0

Trace form

3392q24q28q416q616q732q932q1016q1224q1432q1532q1824q208q2248q2316q2416q2532q2816q30+16q97+O(q100) 3392 q - 24 q^{2} - 8 q^{4} - 16 q^{6} - 16 q^{7} - 32 q^{9} - 32 q^{10} - 16 q^{12} - 24 q^{14} - 32 q^{15} - 32 q^{18} - 24 q^{20} - 8 q^{22} - 48 q^{23} - 16 q^{24} - 16 q^{25} - 32 q^{28} - 16 q^{30}+ \cdots - 16 q^{97}+O(q^{100}) Copy content Toggle raw display

Decomposition of S2new(1224,[χ])S_{2}^{\mathrm{new}}(1224, [\chi]) into newform subspaces

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