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Properties

Label 2520.2.cl
Level $2520$
Weight $2$
Character orbit 2520.cl
Rep. character $\chi_{2520}(2221,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $768$
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.cl (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 504 \)
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 768 400
Cusp forms 1136 768 368
Eisenstein series 32 0 32

Trace form

\( 768 q + O(q^{10}) \) \( 768 q + 20 q^{12} + 20 q^{14} - 20 q^{18} - 20 q^{24} - 768 q^{25} + 20 q^{32} + 40 q^{36} - 40 q^{38} - 8 q^{42} - 22 q^{44} - 80 q^{47} + 4 q^{48} + 92 q^{54} + 66 q^{56} + 14 q^{60} - 88 q^{62} - 80 q^{63} - 96 q^{66} - 20 q^{68} + 16 q^{72} + 8 q^{78} - 8 q^{81} + 28 q^{84} - 36 q^{86} - 8 q^{89} + 18 q^{90} + 76 q^{92} + 26 q^{96} + 78 q^{98} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(2520, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(504, [\chi])\)\(^{\oplus 2}\)