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Properties

Label 2368.2.dl
Level $2368$
Weight $2$
Character orbit 2368.dl
Rep. character $\chi_{2368}(85,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $4832$
Sturm bound $608$

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Defining parameters

Level: \( N \) \(=\) \( 2368 = 2^{6} \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2368.dl (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2368 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(608\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2368, [\chi])\).

Total New Old
Modular forms 4896 4896 0
Cusp forms 4832 4832 0
Eisenstein series 64 64 0

Trace form

\( 4832 q - 24 q^{2} - 8 q^{3} - 8 q^{4} - 24 q^{5} - 8 q^{7} - 8 q^{9} + O(q^{10}) \) \( 4832 q - 24 q^{2} - 8 q^{3} - 8 q^{4} - 24 q^{5} - 8 q^{7} - 8 q^{9} - 32 q^{10} - 32 q^{11} - 8 q^{12} - 24 q^{13} - 24 q^{15} - 8 q^{16} - 24 q^{17} - 24 q^{18} - 24 q^{19} - 24 q^{20} - 8 q^{21} - 24 q^{22} + 96 q^{24} - 8 q^{25} - 32 q^{26} - 32 q^{27} - 8 q^{28} - 8 q^{30} - 144 q^{32} - 48 q^{34} - 24 q^{35} - 32 q^{36} - 16 q^{37} - 32 q^{38} - 24 q^{39} - 8 q^{40} - 8 q^{41} - 24 q^{42} + 8 q^{44} - 8 q^{46} - 32 q^{47} - 32 q^{48} - 8 q^{49} - 24 q^{50} - 24 q^{52} - 8 q^{53} - 24 q^{54} - 24 q^{55} - 24 q^{56} - 24 q^{57} - 8 q^{58} - 24 q^{59} - 24 q^{61} + 72 q^{62} - 384 q^{63} - 224 q^{64} - 16 q^{65} - 168 q^{67} - 24 q^{69} + 88 q^{70} - 8 q^{71} - 24 q^{72} - 32 q^{73} - 128 q^{74} - 32 q^{75} - 24 q^{76} - 8 q^{77} - 8 q^{78} - 24 q^{79} - 8 q^{81} - 8 q^{83} + 416 q^{84} - 32 q^{85} - 112 q^{86} - 24 q^{87} - 24 q^{89} - 8 q^{90} - 24 q^{91} + 432 q^{92} - 96 q^{93} - 24 q^{94} - 24 q^{96} - 24 q^{98} - 56 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2368, [\chi])\) into newform subspaces

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