Properties

Label 4160.2.dg
Level 41604160
Weight 22
Character orbit 4160.dg
Rep. character χ4160(2721,)\chi_{4160}(2721,\cdot)
Character field Q(ζ6)\Q(\zeta_{6})
Dimension 224224
Sturm bound 13441344

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Defining parameters

Level: N N == 4160=26513 4160 = 2^{6} \cdot 5 \cdot 13
Weight: k k == 2 2
Character orbit: [χ][\chi] == 4160.dg (of order 66 and degree 22)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 104 104
Character field: Q(ζ6)\Q(\zeta_{6})
Sturm bound: 13441344

Dimensions

The following table gives the dimensions of various subspaces of M2(4160,[χ])M_{2}(4160, [\chi]).

Total New Old
Modular forms 1392 224 1168
Cusp forms 1296 224 1072
Eisenstein series 96 0 96

Decomposition of S2new(4160,[χ])S_{2}^{\mathrm{new}}(4160, [\chi]) into newform subspaces

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

Decomposition of S2old(4160,[χ])S_{2}^{\mathrm{old}}(4160, [\chi]) into lower level spaces

S2old(4160,[χ]) S_{2}^{\mathrm{old}}(4160, [\chi]) \simeq S2new(104,[χ])S_{2}^{\mathrm{new}}(104, [\chi])8^{\oplus 8}\oplusS2new(416,[χ])S_{2}^{\mathrm{new}}(416, [\chi])4^{\oplus 4}\oplusS2new(520,[χ])S_{2}^{\mathrm{new}}(520, [\chi])4^{\oplus 4}\oplusS2new(832,[χ])S_{2}^{\mathrm{new}}(832, [\chi])2^{\oplus 2}\oplusS2new(2080,[χ])S_{2}^{\mathrm{new}}(2080, [\chi])2^{\oplus 2}