Properties

Label 2240.2.dw
Level $2240$
Weight $2$
Character orbit 2240.dw
Rep. character $\chi_{2240}(139,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $3040$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 2240 = 2^{6} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2240.dw (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2240 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2240, [\chi])\).

Total New Old
Modular forms 3104 3104 0
Cusp forms 3040 3040 0
Eisenstein series 64 64 0

Trace form

\( 3040q - 32q^{4} - 32q^{9} + O(q^{10}) \) \( 3040q - 32q^{4} - 32q^{9} - 32q^{11} - 16q^{14} - 16q^{15} - 32q^{16} - 16q^{21} - 16q^{25} - 32q^{29} - 96q^{30} - 8q^{35} + 128q^{36} - 32q^{39} - 32q^{44} - 32q^{46} - 16q^{49} - 64q^{50} - 32q^{51} - 16q^{56} + 80q^{60} - 224q^{64} - 32q^{65} - 8q^{70} - 160q^{71} + 64q^{74} - 32q^{79} - 32q^{81} + 96q^{84} - 16q^{85} - 32q^{86} - 16q^{91} - 32q^{95} + 64q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2240, [\chi])\) into newform subspaces

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