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Properties

Label 2960.2.cx
Level $2960$
Weight $2$
Character orbit 2960.cx
Rep. character $\chi_{2960}(1121,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $152$
Sturm bound $912$

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Defining parameters

Level: \( N \) \(=\) \( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2960.cx (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 37 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2960, [\chi])\).

Total New Old
Modular forms 936 152 784
Cusp forms 888 152 736
Eisenstein series 48 0 48

Trace form

\( 152 q - 4 q^{3} - 8 q^{7} - 76 q^{9} + O(q^{10}) \) \( 152 q - 4 q^{3} - 8 q^{7} - 76 q^{9} - 8 q^{11} + 76 q^{25} + 32 q^{27} - 16 q^{37} + 12 q^{39} - 8 q^{41} + 40 q^{47} - 76 q^{49} - 8 q^{53} + 112 q^{63} - 4 q^{65} + 24 q^{67} + 20 q^{71} + 16 q^{73} - 8 q^{75} + 8 q^{77} - 72 q^{79} - 76 q^{81} + 80 q^{83} + 12 q^{89} + 12 q^{91} + 16 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2960, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2960, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(37, [\chi])\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(74, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(148, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(185, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(296, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(370, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(592, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(740, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1480, [\chi])\)\(^{\oplus 2}\)