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Properties

Label 1520.2.cm
Level $1520$
Weight $2$
Character orbit 1520.cm
Rep. character $\chi_{1520}(179,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $944$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1520 = 2^{4} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1520.cm (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1520 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1520, [\chi])\).

Total New Old
Modular forms 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944 q - 4 q^{4} - 2 q^{5} - 4 q^{6} + O(q^{10}) \) \( 944 q - 4 q^{4} - 2 q^{5} - 4 q^{6} - 24 q^{10} - 16 q^{11} + 12 q^{14} - 36 q^{20} + 24 q^{21} - 12 q^{24} - 24 q^{26} - 12 q^{29} + 40 q^{30} - 12 q^{34} - 16 q^{35} - 20 q^{36} - 32 q^{39} + 24 q^{40} + 52 q^{44} - 40 q^{45} - 880 q^{49} - 36 q^{51} - 68 q^{54} - 4 q^{55} - 12 q^{59} + 36 q^{60} - 36 q^{61} - 40 q^{64} + 44 q^{66} + 108 q^{70} - 24 q^{71} - 4 q^{74} + 52 q^{76} - 10 q^{80} + 400 q^{81} - 22 q^{85} - 12 q^{86} - 6 q^{90} + 72 q^{91} + 88 q^{96} + 88 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1520, [\chi])\) into newform subspaces

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