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Properties

Label 1911.2.el
Level $1911$
Weight $2$
Character orbit 1911.el
Rep. character $\chi_{1911}(11,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $6168$
Sturm bound $522$

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Defining parameters

Level: \( N \) \(=\) \( 1911 = 3 \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1911.el (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1911 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(522\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1911, [\chi])\).

Total New Old
Modular forms 6360 6360 0
Cusp forms 6168 6168 0
Eisenstein series 192 192 0

Trace form

\( 6168 q - 10 q^{3} - 72 q^{4} - 24 q^{6} - 40 q^{7} - 10 q^{9} + O(q^{10}) \) \( 6168 q - 10 q^{3} - 72 q^{4} - 24 q^{6} - 40 q^{7} - 10 q^{9} - 84 q^{10} + 36 q^{12} - 40 q^{13} - 26 q^{15} - 516 q^{16} - 44 q^{18} - 14 q^{19} - 4 q^{21} - 20 q^{22} - 24 q^{24} - 16 q^{27} - 68 q^{28} - 16 q^{31} - 78 q^{33} - 8 q^{34} - 30 q^{36} - 92 q^{37} - 20 q^{39} - 156 q^{40} - 142 q^{42} + 24 q^{43} - 16 q^{45} - 88 q^{46} + 36 q^{48} - 86 q^{49} - 36 q^{51} - 176 q^{52} - 6 q^{54} - 12 q^{55} + 28 q^{57} - 36 q^{58} - 88 q^{60} + 12 q^{61} - 48 q^{63} + 118 q^{66} - 94 q^{67} + 12 q^{69} + 20 q^{70} - 66 q^{72} - 118 q^{73} + 52 q^{76} - 102 q^{78} - 56 q^{79} + 22 q^{81} - 84 q^{82} - 32 q^{84} + 48 q^{85} - 124 q^{87} - 84 q^{88} + 134 q^{91} - 292 q^{93} + 164 q^{94} - 254 q^{96} - 174 q^{97} - 66 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces

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