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Properties

Label 1960.2.cq
Level $1960$
Weight $2$
Character orbit 1960.cq
Rep. character $\chi_{1960}(153,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $1008$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 1960 = 2^{3} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1960.cq (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 245 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1960, [\chi])\).

Total New Old
Modular forms 4128 1008 3120
Cusp forms 3936 1008 2928
Eisenstein series 192 0 192

Trace form

\( 1008 q - 4 q^{7} + O(q^{10}) \) \( 1008 q - 4 q^{7} - 8 q^{11} - 20 q^{15} - 16 q^{21} + 24 q^{23} - 12 q^{35} - 16 q^{43} - 112 q^{45} - 32 q^{57} - 20 q^{63} + 24 q^{65} + 32 q^{67} + 84 q^{75} + 40 q^{77} + 132 q^{81} + 56 q^{83} - 24 q^{85} + 28 q^{87} - 76 q^{91} + 120 q^{93} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1960, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1960, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(245, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(490, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 2}\)