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Properties

Label 2520.2.io
Level $2520$
Weight $2$
Character orbit 2520.io
Rep. character $\chi_{2520}(493,\cdot)$
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.io (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

\( 2272 q - 4 q^{2} - 4 q^{7} - 16 q^{8} + O(q^{10}) \) \( 2272 q - 4 q^{2} - 4 q^{7} - 16 q^{8} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 8 q^{16} - 24 q^{17} + 14 q^{18} - 48 q^{20} + 4 q^{22} + 4 q^{23} + 4 q^{25} - 24 q^{26} + 38 q^{30} + 36 q^{32} - 12 q^{33} - 6 q^{38} - 6 q^{40} + 4 q^{42} - 8 q^{46} + 18 q^{48} + 36 q^{50} - 54 q^{52} - 60 q^{56} - 40 q^{57} - 6 q^{58} + 26 q^{60} + 48 q^{63} - 8 q^{65} - 12 q^{66} - 6 q^{68} - 22 q^{70} - 64 q^{71} - 26 q^{72} - 24 q^{73} - 48 q^{76} - 6 q^{78} - 12 q^{80} + 24 q^{81} - 24 q^{82} + 40 q^{86} - 12 q^{87} - 14 q^{88} + 12 q^{92} - 88 q^{95} + 72 q^{96} - 80 q^{98} + O(q^{100}) \)

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.