Properties

Label 1343.2.bi
Level $1343$
Weight $2$
Character orbit 1343.bi
Rep. character $\chi_{1343}(12,\cdot)$
Character field $\Q(\zeta_{208})$
Dimension $11328$
Sturm bound $240$

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Defining parameters

Level: \( N \) \(=\) \( 1343 = 17 \cdot 79 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1343.bi (of order \(208\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1343 \)
Character field: \(\Q(\zeta_{208})\)
Sturm bound: \(240\)

Dimensions

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

Total New Old
Modular forms 11712 11712 0
Cusp forms 11328 11328 0
Eisenstein series 384 384 0

Trace form

\( 11328 q - 88 q^{2} - 104 q^{3} - 88 q^{4} - 88 q^{5} - 104 q^{6} - 104 q^{7} - 88 q^{8} - 88 q^{9} + O(q^{10}) \) \( 11328 q - 88 q^{2} - 104 q^{3} - 88 q^{4} - 88 q^{5} - 104 q^{6} - 104 q^{7} - 88 q^{8} - 88 q^{9} - 88 q^{10} - 88 q^{11} - 104 q^{12} - 104 q^{13} - 104 q^{14} - 104 q^{15} - 104 q^{17} - 240 q^{18} - 88 q^{19} - 88 q^{20} - 40 q^{21} - 88 q^{22} - 176 q^{23} - 88 q^{25} - 88 q^{26} - 104 q^{27} - 104 q^{28} - 104 q^{29} - 104 q^{30} - 152 q^{31} + 320 q^{32} - 104 q^{34} - 208 q^{35} - 184 q^{36} - 520 q^{37} - 168 q^{38} - 104 q^{39} - 152 q^{40} - 104 q^{41} - 88 q^{42} - 104 q^{43} - 792 q^{44} - 88 q^{45} - 56 q^{46} - 104 q^{47} - 104 q^{48} - 24 q^{49} - 88 q^{51} - 176 q^{52} - 104 q^{53} - 104 q^{54} - 128 q^{55} - 104 q^{57} - 104 q^{58} - 104 q^{59} - 104 q^{60} - 104 q^{61} - 88 q^{62} - 104 q^{63} + 200 q^{64} - 120 q^{65} - 104 q^{66} - 104 q^{68} - 208 q^{69} - 104 q^{70} - 104 q^{71} - 24 q^{72} - 88 q^{73} - 104 q^{74} - 104 q^{75} - 216 q^{76} - 104 q^{77} - 160 q^{79} - 272 q^{80} + 440 q^{81} - 104 q^{82} - 136 q^{83} - 104 q^{85} - 208 q^{86} - 88 q^{87} - 88 q^{88} + 56 q^{89} - 8 q^{90} - 104 q^{91} - 88 q^{92} - 104 q^{93} - 104 q^{94} + 72 q^{95} - 104 q^{96} + 40 q^{97} - 88 q^{98} - 72 q^{99} + O(q^{100}) \)

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

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