Properties

Label 4368.2.ph
Level 43684368
Weight 22
Character orbit 4368.ph
Rep. character χ4368(869,)\chi_{4368}(869,\cdot)
Character field Q(ζ12)\Q(\zeta_{12})
Dimension 26882688
Sturm bound 17921792

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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.ph (of order 1212 and degree 44)
Character conductor: cond(χ)\operatorname{cond}(\chi) == 624 624
Character field: Q(ζ12)\Q(\zeta_{12})
Sturm bound: 17921792

Dimensions

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

Total New Old
Modular forms 3616 2688 928
Cusp forms 3552 2688 864
Eisenstein series 64 0 64

Decomposition of S2new(4368,[χ])S_{2}^{\mathrm{new}}(4368, [\chi]) into newform subspaces

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

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(624,[χ])S_{2}^{\mathrm{new}}(624, [\chi])2^{\oplus 2}