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Properties

Label 2520.2.dc
Level $2520$
Weight $2$
Character orbit 2520.dc
Rep. character $\chi_{2520}(101,\cdot)$
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.dc (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

\( 768 q + O(q^{10}) \) \( 768 q - 30 q^{12} + 30 q^{14} - 10 q^{18} + 384 q^{25} - 40 q^{36} + 60 q^{38} + 72 q^{42} + 66 q^{44} - 42 q^{54} + 28 q^{60} + 80 q^{63} + 60 q^{66} + 30 q^{68} - 50 q^{72} + 84 q^{74} + 8 q^{78} + 16 q^{81} - 44 q^{84} + 54 q^{86} + 24 q^{89} + 54 q^{90} + 60 q^{92} + 42 q^{96} + 102 q^{98} + O(q^{100}) \)

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

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