Properties

Label 5733.2.kk
Level 57335733
Weight 22
Character orbit 5733.kk
Rep. character χ5733(478,)\chi_{5733}(478,\cdot)
Character field Q(ζ42)\Q(\zeta_{42})
Dimension 39003900
Sturm bound 15681568

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Defining parameters

Level: N N == 5733=327213 5733 = 3^{2} \cdot 7^{2} \cdot 13
Weight: k k == 2 2
Character orbit: [χ][\chi] == 5733.kk (of order 4242 and degree 1212)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 637 637
Character field: Q(ζ42)\Q(\zeta_{42})
Sturm bound: 15681568

Dimensions

The following table gives the dimensions of various subspaces of M2(5733,[χ])M_{2}(5733, [\chi]).

Total New Old
Modular forms 9504 3948 5556
Cusp forms 9312 3900 5412
Eisenstein series 192 48 144

Decomposition of S2new(5733,[χ])S_{2}^{\mathrm{new}}(5733, [\chi]) into newform subspaces

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

Decomposition of S2old(5733,[χ])S_{2}^{\mathrm{old}}(5733, [\chi]) into lower level spaces

S2old(5733,[χ]) S_{2}^{\mathrm{old}}(5733, [\chi]) \simeq S2new(637,[χ])S_{2}^{\mathrm{new}}(637, [\chi])3^{\oplus 3}\oplusS2new(1911,[χ])S_{2}^{\mathrm{new}}(1911, [\chi])2^{\oplus 2}