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Properties

Label 2015.2.cs
Level $2015$
Weight $2$
Character orbit 2015.cs
Rep. character $\chi_{2015}(99,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $880$
Sturm bound $448$

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Defining parameters

Level: \( N \) \(=\) \( 2015 = 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2015.cs (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2015 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2015, [\chi])\).

Total New Old
Modular forms 912 912 0
Cusp forms 880 880 0
Eisenstein series 32 32 0

Trace form

\( 880 q - 2 q^{5} + 12 q^{6} - 432 q^{9} + O(q^{10}) \) \( 880 q - 2 q^{5} + 12 q^{6} - 432 q^{9} - 12 q^{11} - 40 q^{14} - 864 q^{16} + 4 q^{19} + 22 q^{20} - 36 q^{21} + 48 q^{24} - 12 q^{26} - 84 q^{34} + 24 q^{35} + 56 q^{39} + 12 q^{40} - 24 q^{41} + 84 q^{44} + 4 q^{45} + 22 q^{50} - 12 q^{55} - 12 q^{59} + 54 q^{65} + 16 q^{66} - 64 q^{70} - 4 q^{71} - 72 q^{74} + 16 q^{76} - 48 q^{79} - 38 q^{80} - 424 q^{81} + 156 q^{84} + 12 q^{86} - 32 q^{94} - 72 q^{96} + 144 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2015, [\chi])\) into newform subspaces

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