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Properties

Label 1960.2.cr
Level $1960$
Weight $2$
Character orbit 1960.cr
Rep. character $\chi_{1960}(13,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $3984$
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.cr (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1960 \)
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 4080 4080 0
Cusp forms 3984 3984 0
Eisenstein series 96 96 0

Trace form

\( 3984 q - 10 q^{2} - 28 q^{6} - 24 q^{7} + 2 q^{8} + O(q^{10}) \) \( 3984 q - 10 q^{2} - 28 q^{6} - 24 q^{7} + 2 q^{8} - 14 q^{10} - 14 q^{12} - 20 q^{15} - 4 q^{16} - 28 q^{17} - 20 q^{18} - 14 q^{20} - 18 q^{22} - 20 q^{23} - 20 q^{25} - 28 q^{26} - 10 q^{28} - 4 q^{30} - 10 q^{32} - 28 q^{33} - 52 q^{36} + 14 q^{38} - 14 q^{40} - 56 q^{41} - 54 q^{42} - 20 q^{46} - 28 q^{47} - 240 q^{50} - 14 q^{52} - 28 q^{55} - 60 q^{56} + 40 q^{57} + 30 q^{58} - 66 q^{60} + 14 q^{62} - 40 q^{63} - 20 q^{65} - 224 q^{66} + 110 q^{70} - 200 q^{71} + 96 q^{72} - 28 q^{73} + 84 q^{76} + 94 q^{78} + 480 q^{81} + 126 q^{82} + 68 q^{86} - 28 q^{87} + 68 q^{88} - 14 q^{90} + 10 q^{92} + 32 q^{95} - 280 q^{96} - 208 q^{98} + O(q^{100}) \)

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.