Properties

Label 2736.2.eb
Level $2736$
Weight $2$
Character orbit 2736.eb
Rep. character $\chi_{2736}(835,\cdot)$
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.eb (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

\( 1904q - 4q^{4} - 4q^{5} - 8q^{6} - 8q^{7} + O(q^{10}) \) \( 1904q - 4q^{4} - 4q^{5} - 8q^{6} - 8q^{7} - 4q^{11} - 4q^{16} - 32q^{17} - 8q^{19} - 32q^{20} - 8q^{23} + 8q^{24} - 48q^{26} + 16q^{28} + 28q^{30} + 24q^{35} - 24q^{36} - 30q^{38} - 16q^{39} - 24q^{42} - 4q^{43} + 72q^{44} - 28q^{45} - 912q^{49} - 52q^{54} - 32q^{55} - 4q^{58} - 4q^{61} + 176q^{62} - 16q^{64} - 24q^{66} - 20q^{68} - 60q^{74} - 14q^{76} + 52q^{77} - 48q^{80} - 16q^{81} - 4q^{83} - 24q^{85} + 96q^{87} + 28q^{92} + 4q^{93} - 236q^{96} - 76q^{99} + O(q^{100}) \)

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

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