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Properties

Label 2520.2.ew
Level $2520$
Weight $2$
Character orbit 2520.ew
Rep. character $\chi_{2520}(779,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1136$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2520.ew (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2520 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

Total New Old
Modular forms 1168 1168 0
Cusp forms 1136 1136 0
Eisenstein series 32 32 0

Trace form

\( 1136 q - 4 q^{4} - 12 q^{6} - 4 q^{9} + O(q^{10}) \) \( 1136 q - 4 q^{4} - 12 q^{6} - 4 q^{9} + 2 q^{10} - 12 q^{11} - 6 q^{14} - 4 q^{16} - 8 q^{19} - 6 q^{20} - 8 q^{24} + 2 q^{25} + 12 q^{26} - 5 q^{30} - 30 q^{35} + 4 q^{36} - 4 q^{40} - 24 q^{41} - 48 q^{44} + 4 q^{46} - 4 q^{49} - 6 q^{50} + 20 q^{51} - 20 q^{54} + 36 q^{56} + 9 q^{60} - 16 q^{64} - 64 q^{66} + 21 q^{70} + 18 q^{74} - 14 q^{75} + 4 q^{76} - 27 q^{80} + 12 q^{81} - 14 q^{84} - 120 q^{86} + 24 q^{89} + 59 q^{90} + 40 q^{91} + 28 q^{94} - 48 q^{96} + 20 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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