Properties

Label 7920.2.gn
Level 79207920
Weight 22
Character orbit 7920.gn
Rep. character χ7920(2353,)\chi_{7920}(2353,\cdot)
Character field Q(ζ12)\Q(\zeta_{12})
Dimension 17121712
Sturm bound 34563456

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Defining parameters

Level: N N == 7920=2432511 7920 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 11
Weight: k k == 2 2
Character orbit: [χ][\chi] == 7920.gn (of order 1212 and degree 44)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 495 495
Character field: Q(ζ12)\Q(\zeta_{12})
Sturm bound: 34563456

Dimensions

The following table gives the dimensions of various subspaces of M2(7920,[χ])M_{2}(7920, [\chi]).

Total New Old
Modular forms 7008 1744 5264
Cusp forms 6816 1712 5104
Eisenstein series 192 32 160

Decomposition of S2new(7920,[χ])S_{2}^{\mathrm{new}}(7920, [\chi]) into newform subspaces

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

Decomposition of S2old(7920,[χ])S_{2}^{\mathrm{old}}(7920, [\chi]) into lower level spaces

S2old(7920,[χ]) S_{2}^{\mathrm{old}}(7920, [\chi]) \simeq S2new(495,[χ])S_{2}^{\mathrm{new}}(495, [\chi])5^{\oplus 5}\oplusS2new(990,[χ])S_{2}^{\mathrm{new}}(990, [\chi])4^{\oplus 4}\oplusS2new(1980,[χ])S_{2}^{\mathrm{new}}(1980, [\chi])3^{\oplus 3}\oplusS2new(3960,[χ])S_{2}^{\mathrm{new}}(3960, [\chi])2^{\oplus 2}