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Properties

Label 2464.2.dg
Level $2464$
Weight $2$
Character orbit 2464.dg
Rep. character $\chi_{2464}(285,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $3040$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 2464 = 2^{5} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2464.dg (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2464 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2464, [\chi])\).

Total New Old
Modular forms 3104 3104 0
Cusp forms 3040 3040 0
Eisenstein series 64 64 0

Trace form

\( 3040 q - 24 q^{3} - 8 q^{4} - 24 q^{5} - 8 q^{9} + O(q^{10}) \) \( 3040 q - 24 q^{3} - 8 q^{4} - 24 q^{5} - 8 q^{9} - 4 q^{11} - 24 q^{12} - 48 q^{14} - 48 q^{16} - 24 q^{22} + 8 q^{23} - 8 q^{25} - 24 q^{26} - 48 q^{31} - 24 q^{33} - 32 q^{36} - 8 q^{37} - 24 q^{38} - 56 q^{42} + 44 q^{44} + 48 q^{45} + 24 q^{53} + 24 q^{56} - 8 q^{58} + 72 q^{59} + 72 q^{60} + 160 q^{64} + 132 q^{66} - 88 q^{67} - 16 q^{70} - 96 q^{71} + 96 q^{75} - 8 q^{77} + 64 q^{78} - 24 q^{80} - 24 q^{82} - 8 q^{86} - 48 q^{88} - 24 q^{89} - 112 q^{91} - 48 q^{92} - 56 q^{93} - 40 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2464, [\chi])\) into newform subspaces

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