Properties

Label 2448.2.es
Level $2448$
Weight $2$
Character orbit 2448.es
Rep. character $\chi_{2448}(59,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $3424$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2448.es (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2448 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2448, [\chi])\).

Total New Old
Modular forms 3488 3488 0
Cusp forms 3424 3424 0
Eisenstein series 64 64 0

Trace form

\( 3424 q - 12 q^{2} - 8 q^{3} - 12 q^{5} - 16 q^{6} - 8 q^{7} + O(q^{10}) \) \( 3424 q - 12 q^{2} - 8 q^{3} - 12 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{10} - 12 q^{11} - 28 q^{12} + 48 q^{14} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 12 q^{20} + 12 q^{22} - 24 q^{23} - 72 q^{24} - 8 q^{27} - 48 q^{28} - 12 q^{29} - 12 q^{32} - 32 q^{33} - 4 q^{34} + 8 q^{36} - 16 q^{37} - 48 q^{38} - 16 q^{39} - 48 q^{40} - 56 q^{42} - 8 q^{43} + 12 q^{45} + 32 q^{46} - 60 q^{48} - 8 q^{49} - 24 q^{50} + 32 q^{51} - 8 q^{52} - 52 q^{54} - 12 q^{56} - 48 q^{57} + 12 q^{58} - 24 q^{59} + 112 q^{60} - 4 q^{61} - 160 q^{63} - 24 q^{65} - 188 q^{66} - 8 q^{67} - 120 q^{68} - 16 q^{69} + 4 q^{70} + 40 q^{72} - 204 q^{74} - 40 q^{75} - 20 q^{76} - 24 q^{77} - 88 q^{78} - 16 q^{82} - 264 q^{83} - 16 q^{84} - 4 q^{85} + 96 q^{86} - 16 q^{87} + 28 q^{88} - 60 q^{90} - 72 q^{91} - 12 q^{92} - 16 q^{93} - 20 q^{94} - 120 q^{95} - 20 q^{96} - 8 q^{97} - 44 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces

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