Properties

Label 2736.2.ea
Level $2736$
Weight $2$
Character orbit 2736.ea
Rep. character $\chi_{2736}(11,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1904$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 2736 = 2^{4} \cdot 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2736.ea (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2736 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2736, [\chi])\).

Total New Old
Modular forms 1936 1936 0
Cusp forms 1904 1904 0
Eisenstein series 32 32 0

Trace form

\( 1904 q - 6 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{6} - 8 q^{7} + O(q^{10}) \) \( 1904 q - 6 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{6} - 8 q^{7} - 4 q^{10} - 12 q^{11} - 8 q^{12} + 2 q^{13} + 2 q^{16} - 12 q^{18} - 8 q^{19} + 30 q^{20} + 10 q^{21} - 4 q^{22} - 12 q^{23} - 18 q^{24} - 8 q^{27} + 4 q^{28} - 40 q^{30} - 6 q^{32} - 4 q^{33} - 20 q^{34} + 30 q^{35} - 18 q^{36} - 16 q^{37} - 6 q^{38} - 16 q^{39} - 4 q^{40} - 34 q^{42} + 2 q^{43} + 66 q^{44} - 18 q^{45} + 16 q^{46} - 82 q^{48} - 912 q^{49} - 12 q^{50} - 14 q^{51} + 2 q^{52} + 42 q^{54} - 8 q^{55} + 72 q^{56} - 4 q^{58} + 10 q^{60} - 4 q^{61} + 12 q^{62} - 16 q^{64} - 24 q^{65} + 14 q^{66} + 2 q^{67} - 36 q^{68} - 2 q^{69} - 32 q^{70} + 10 q^{72} + 78 q^{74} - 124 q^{75} + 22 q^{76} - 12 q^{77} - 10 q^{78} + 48 q^{80} - 4 q^{81} - 12 q^{82} - 12 q^{83} - 24 q^{84} + 22 q^{85} - 6 q^{86} - 72 q^{87} - 4 q^{88} - 74 q^{90} + 10 q^{91} - 6 q^{92} + 4 q^{93} - 12 q^{94} + 116 q^{96} + 4 q^{97} - 174 q^{98} - 84 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2736, [\chi])\) into newform subspaces

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