Properties

Label 1560.4.dv
Level $1560$
Weight $4$
Character orbit 1560.dv
Rep. character $\chi_{1560}(179,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $2000$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 1560 = 2^{3} \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1560.dv (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1560 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1560, [\chi])\).

Total New Old
Modular forms 2032 2032 0
Cusp forms 2000 2000 0
Eisenstein series 32 32 0

Trace form

\( 2000 q - 4 q^{4} - 6 q^{6} - 4 q^{9} + O(q^{10}) \) \( 2000 q - 4 q^{4} - 6 q^{6} - 4 q^{9} - 54 q^{10} + 68 q^{16} - 24 q^{19} - 396 q^{24} - 16 q^{25} + 86 q^{30} + 358 q^{36} - 876 q^{40} - 1272 q^{46} + 46640 q^{49} + 200 q^{51} + 2208 q^{54} - 1888 q^{64} - 2580 q^{66} + 52 q^{75} - 12 q^{76} - 4 q^{81} - 6930 q^{84} - 4696 q^{90} - 2760 q^{91} - 3900 q^{94} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1560, [\chi])\) into newform subspaces

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