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Properties

Label 1928.2.cg
Level $1928$
Weight $2$
Character orbit 1928.cg
Rep. character $\chi_{1928}(5,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $3840$
Sturm bound $484$

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Defining parameters

Level: \( N \) \(=\) \( 1928 = 2^{3} \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1928.cg (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1928 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(484\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1928, [\chi])\).

Total New Old
Modular forms 3904 3904 0
Cusp forms 3840 3840 0
Eisenstein series 64 64 0

Trace form

\( 3840 q - 16 q^{2} - 20 q^{6} - 32 q^{7} - 16 q^{8} - 40 q^{9} + O(q^{10}) \) \( 3840 q - 16 q^{2} - 20 q^{6} - 32 q^{7} - 16 q^{8} - 40 q^{9} - 12 q^{10} - 44 q^{12} + 4 q^{14} + 64 q^{15} - 16 q^{16} - 12 q^{18} - 80 q^{20} + 8 q^{22} - 32 q^{23} - 12 q^{24} - 40 q^{25} + 4 q^{26} + 72 q^{28} - 160 q^{31} - 36 q^{32} - 48 q^{33} + 36 q^{36} - 44 q^{38} - 32 q^{39} - 20 q^{40} - 24 q^{41} + 24 q^{42} - 52 q^{44} + 32 q^{46} - 32 q^{47} - 8 q^{48} + 44 q^{50} - 104 q^{52} - 60 q^{54} - 32 q^{55} + 12 q^{56} - 48 q^{57} - 68 q^{58} + 92 q^{62} - 88 q^{63} - 32 q^{65} - 52 q^{66} - 72 q^{68} + 12 q^{70} - 32 q^{71} - 280 q^{72} + 136 q^{74} + 116 q^{76} - 200 q^{78} - 32 q^{79} - 20 q^{80} + 776 q^{81} + 100 q^{82} - 80 q^{84} + 44 q^{86} + 72 q^{87} - 64 q^{88} - 24 q^{89} - 140 q^{90} - 164 q^{92} - 28 q^{94} - 32 q^{95} - 20 q^{96} - 40 q^{97} + 44 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1928, [\chi])\) into newform subspaces

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