Properties

Label 1104.2.bv
Level $1104$
Weight $2$
Character orbit 1104.bv
Rep. character $\chi_{1104}(19,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $1920$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1104 = 2^{4} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1104.bv (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 368 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1104, [\chi])\).

Total New Old
Modular forms 3920 1920 2000
Cusp forms 3760 1920 1840
Eisenstein series 160 0 160

Trace form

\( 1920q + 8q^{4} + O(q^{10}) \) \( 1920q + 8q^{4} + 8q^{18} + 16q^{23} + 8q^{24} - 40q^{26} - 32q^{29} - 40q^{32} + 44q^{34} + 8q^{36} - 220q^{38} + 220q^{42} - 184q^{46} - 32q^{48} + 192q^{49} + 212q^{50} - 104q^{52} - 36q^{54} + 4q^{58} - 24q^{62} + 56q^{64} - 16q^{69} - 72q^{70} - 8q^{72} - 144q^{77} + 192q^{81} + 120q^{82} - 32q^{85} - 48q^{92} - 32q^{94} - 40q^{96} - 72q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1104, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1104, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1104, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)