Properties

Label 2240.1.m
Level 22402240
Weight 11
Character orbit 2240.m
Rep. character χ2240(1441,)\chi_{2240}(1441,\cdot)
Character field Q\Q
Dimension 00
Newform subspaces 00
Sturm bound 384384
Trace bound 00

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Defining parameters

Level: N N == 2240=2657 2240 = 2^{6} \cdot 5 \cdot 7
Weight: k k == 1 1
Character orbit: [χ][\chi] == 2240.m (of order 22 and degree 11)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 56 56
Character field: Q\Q
Newform subspaces: 0 0
Sturm bound: 384384
Trace bound: 00

Dimensions

The following table gives the dimensions of various subspaces of M1(2240,[χ])M_{1}(2240, [\chi]).

Total New Old
Modular forms 36 0 36
Cusp forms 12 0 12
Eisenstein series 24 0 24

The following table gives the dimensions of subspaces with specified projective image type.

DnD_n A4A_4 S4S_4 A5A_5
Dimension 0 0 0 0

Decomposition of S1old(2240,[χ])S_{1}^{\mathrm{old}}(2240, [\chi]) into lower level spaces

S1old(2240,[χ]) S_{1}^{\mathrm{old}}(2240, [\chi]) \simeq S1new(56,[χ])S_{1}^{\mathrm{new}}(56, [\chi])8^{\oplus 8}\oplusS1new(224,[χ])S_{1}^{\mathrm{new}}(224, [\chi])4^{\oplus 4}