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Properties

Label 1343.2.s
Level $1343$
Weight $2$
Character orbit 1343.s
Rep. character $\chi_{1343}(134,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $944$
Sturm bound $240$

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Defining parameters

Level: \( N \) \(=\) \( 1343 = 17 \cdot 79 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1343.s (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1343 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1343, [\chi])\).

Total New Old
Modular forms 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 20 q^{6} - 4 q^{7} - 32 q^{8} - 4 q^{9} + O(q^{10}) \) \( 944 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 20 q^{6} - 4 q^{7} - 32 q^{8} - 4 q^{9} - 16 q^{10} - 4 q^{11} - 40 q^{12} - 16 q^{14} - 8 q^{15} + 440 q^{16} - 16 q^{17} + 12 q^{19} - 36 q^{20} - 16 q^{22} - 8 q^{23} - 4 q^{25} - 20 q^{26} - 16 q^{27} - 36 q^{28} - 4 q^{29} - 20 q^{31} + 88 q^{32} - 128 q^{33} - 68 q^{34} - 88 q^{35} + 20 q^{36} + 28 q^{37} - 52 q^{39} + 44 q^{40} - 16 q^{41} + 40 q^{42} - 4 q^{43} - 4 q^{44} + 8 q^{45} - 64 q^{46} + 168 q^{48} + 28 q^{49} + 8 q^{50} + 44 q^{51} - 96 q^{52} - 12 q^{53} - 100 q^{54} - 48 q^{56} + 48 q^{57} - 48 q^{58} - 20 q^{59} - 56 q^{60} + 112 q^{61} - 104 q^{62} - 40 q^{63} - 40 q^{65} + 4 q^{66} - 12 q^{68} - 96 q^{69} - 16 q^{71} - 36 q^{73} - 4 q^{74} + 20 q^{75} - 60 q^{76} - 4 q^{77} + 232 q^{78} - 56 q^{79} - 96 q^{80} + 36 q^{82} - 48 q^{83} + 152 q^{84} - 4 q^{85} - 104 q^{86} - 16 q^{87} + 56 q^{88} - 200 q^{90} + 8 q^{91} + 4 q^{92} + 24 q^{93} - 208 q^{94} - 108 q^{95} + 24 q^{96} - 48 q^{97} - 24 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1343, [\chi])\) into newform subspaces

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