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Properties

Label 1140.2.bv
Level $1140$
Weight $2$
Character orbit 1140.bv
Rep. character $\chi_{1140}(107,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $928$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1140 = 2^{2} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1140.bv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1140 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1140, [\chi])\).

Total New Old
Modular forms 992 992 0
Cusp forms 928 928 0
Eisenstein series 64 64 0

Trace form

\( 928 q - 4 q^{6} + O(q^{10}) \) \( 928 q - 4 q^{6} - 12 q^{10} - 24 q^{13} - 4 q^{16} - 24 q^{21} - 36 q^{22} - 8 q^{25} - 20 q^{28} - 28 q^{30} - 48 q^{33} - 20 q^{36} - 12 q^{40} + 30 q^{42} + 24 q^{45} + 36 q^{48} - 12 q^{52} - 36 q^{57} - 128 q^{58} - 6 q^{60} - 80 q^{61} - 12 q^{66} - 12 q^{70} + 42 q^{72} - 8 q^{73} - 56 q^{76} - 12 q^{78} - 8 q^{81} - 36 q^{82} - 8 q^{85} - 6 q^{90} - 16 q^{93} - 120 q^{96} - 24 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1140, [\chi])\) into newform subspaces

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