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Properties

Label 2520.2.hl
Level $2520$
Weight $2$
Character orbit 2520.hl
Rep. character $\chi_{2520}(653,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $2272$
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.hl (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2520 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

Total New Old
Modular forms 2336 2336 0
Cusp forms 2272 2272 0
Eisenstein series 64 64 0

Trace form

\( 2272 q - 16 q^{6} - 4 q^{7} + O(q^{10}) \) \( 2272 q - 16 q^{6} - 4 q^{7} - 4 q^{10} - 26 q^{12} - 16 q^{15} - 8 q^{16} - 18 q^{18} - 12 q^{20} - 12 q^{22} - 12 q^{23} + 4 q^{25} + 38 q^{30} - 16 q^{31} + 20 q^{33} + 18 q^{38} + 2 q^{40} - 48 q^{41} + 12 q^{42} - 8 q^{46} - 2 q^{48} - 12 q^{50} - 14 q^{52} - 72 q^{55} - 12 q^{56} + 8 q^{57} + 10 q^{58} - 14 q^{60} + 48 q^{63} - 12 q^{66} + 42 q^{68} - 22 q^{70} + 22 q^{72} - 8 q^{73} + 8 q^{76} + 14 q^{78} + 60 q^{80} + 24 q^{81} - 8 q^{82} + 96 q^{86} - 28 q^{87} + 18 q^{88} - 44 q^{90} - 12 q^{92} + 40 q^{96} - 8 q^{97} - 12 q^{98} + O(q^{100}) \)

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.