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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

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

Display 100 coefficients 10 coefficients

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

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