Properties

Label 3040.2.gb
Level $3040$
Weight $2$
Character orbit 3040.gb
Rep. character $\chi_{3040}(59,\cdot)$
Character field $\Q(\zeta_{72})$
Dimension $11424$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 3040 = 2^{5} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3040.gb (of order \(72\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3040 \)
Character field: \(\Q(\zeta_{72})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3040, [\chi])\).

Total New Old
Modular forms 11616 11616 0
Cusp forms 11424 11424 0
Eisenstein series 192 192 0

Trace form

\( 11424 q - 48 q^{4} - 24 q^{5} - 48 q^{6} - 48 q^{9} + O(q^{10}) \) \( 11424 q - 48 q^{4} - 24 q^{5} - 48 q^{6} - 48 q^{9} - 24 q^{10} - 24 q^{11} - 48 q^{14} - 48 q^{15} - 48 q^{16} - 48 q^{19} - 48 q^{20} - 48 q^{21} - 48 q^{24} - 24 q^{25} - 24 q^{26} - 48 q^{29} - 12 q^{30} - 48 q^{34} - 24 q^{35} - 48 q^{36} - 96 q^{39} - 84 q^{40} - 48 q^{41} - 48 q^{44} - 12 q^{45} - 72 q^{46} - 144 q^{50} + 48 q^{54} - 24 q^{55} - 48 q^{59} + 60 q^{60} - 48 q^{61} - 24 q^{64} - 72 q^{65} - 48 q^{66} + 216 q^{69} - 168 q^{70} - 48 q^{71} - 48 q^{74} - 48 q^{76} - 96 q^{79} - 144 q^{80} - 72 q^{84} - 24 q^{85} - 48 q^{86} - 48 q^{89} - 24 q^{90} - 48 q^{91} - 288 q^{96} - 48 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3040, [\chi])\) into newform subspaces

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