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Properties

Label 1144.2.bq
Level $1144$
Weight $2$
Character orbit 1144.bq
Rep. character $\chi_{1144}(51,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $656$
Sturm bound $336$

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Defining parameters

Level: \( N \) \(=\) \( 1144 = 2^{3} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1144.bq (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1144 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1144, [\chi])\).

Total New Old
Modular forms 688 688 0
Cusp forms 656 656 0
Eisenstein series 32 32 0

Trace form

\( 656 q - 12 q^{3} - 6 q^{4} - 168 q^{9} + O(q^{10}) \) \( 656 q - 12 q^{3} - 6 q^{4} - 168 q^{9} + 4 q^{12} - 6 q^{14} - 10 q^{16} - 20 q^{17} - 66 q^{22} - 160 q^{25} - 34 q^{26} + 12 q^{27} - 20 q^{35} - 66 q^{36} - 38 q^{38} - 10 q^{40} + 28 q^{42} - 36 q^{48} + 128 q^{49} - 20 q^{51} + 20 q^{52} - 52 q^{56} - 10 q^{62} - 6 q^{64} - 126 q^{66} - 140 q^{68} + 40 q^{74} + 4 q^{75} - 100 q^{78} - 120 q^{81} - 46 q^{82} + 58 q^{88} + 140 q^{90} + 22 q^{91} + 38 q^{92} - 10 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1144, [\chi])\) into newform subspaces

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