Properties

Label 2736.2.em
Level $2736$
Weight $2$
Character orbit 2736.em
Rep. character $\chi_{2736}(293,\cdot)$
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.em (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

\( 1904q - 12q^{2} - 6q^{3} - 4q^{4} - 6q^{5} - 2q^{6} + O(q^{10}) \) \( 1904q - 12q^{2} - 6q^{3} - 4q^{4} - 6q^{5} - 2q^{6} - 12q^{10} - 12q^{11} - 6q^{14} - 12q^{15} - 4q^{16} + 12q^{18} - 8q^{19} - 54q^{20} - 24q^{21} - 6q^{22} - 34q^{24} - 12q^{28} - 6q^{29} + 16q^{30} - 12q^{32} - 12q^{33} - 6q^{34} + 30q^{35} + 30q^{36} - 6q^{38} - 6q^{40} - 66q^{42} - 4q^{43} - 66q^{44} - 18q^{45} - 12q^{47} - 6q^{48} + 896q^{49} - 6q^{51} + 20q^{54} - 4q^{58} - 6q^{59} + 36q^{60} + 2q^{61} - 12q^{62} - 60q^{63} - 16q^{64} - 22q^{66} - 36q^{68} - 18q^{69} + 36q^{70} + 126q^{72} - 48q^{75} + 10q^{76} - 12q^{77} + 6q^{78} + 48q^{80} - 4q^{81} + 4q^{82} - 12q^{83} - 44q^{85} - 12q^{86} - 6q^{90} - 54q^{91} - 14q^{93} - 24q^{94} - 12q^{95} - 132q^{96} - 54q^{98} + 2q^{99} + O(q^{100}) \)

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

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