Properties

Label 4368.2.p
Level 43684368
Weight 22
Character orbit 4368.p
Rep. character χ4368(2393,)\chi_{4368}(2393,\cdot)
Character field Q\Q
Dimension 00
Newform subspaces 00
Sturm bound 17921792
Trace bound 00

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Defining parameters

Level: N N == 4368=243713 4368 = 2^{4} \cdot 3 \cdot 7 \cdot 13
Weight: k k == 2 2
Character orbit: [χ][\chi] == 4368.p (of order 22 and degree 11)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 168 168
Character field: Q\Q
Newform subspaces: 0 0
Sturm bound: 17921792
Trace bound: 00

Dimensions

The following table gives the dimensions of various subspaces of M2(4368,[χ])M_{2}(4368, [\chi]).

Total New Old
Modular forms 912 0 912
Cusp forms 880 0 880
Eisenstein series 32 0 32

Decomposition of S2old(4368,[χ])S_{2}^{\mathrm{old}}(4368, [\chi]) into lower level spaces

S2old(4368,[χ]) S_{2}^{\mathrm{old}}(4368, [\chi]) \simeq S2new(168,[χ])S_{2}^{\mathrm{new}}(168, [\chi])4^{\oplus 4}\oplusS2new(2184,[χ])S_{2}^{\mathrm{new}}(2184, [\chi])2^{\oplus 2}