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Properties

Label 1911.2.ef
Level $1911$
Weight $2$
Character orbit 1911.ef
Rep. character $\chi_{1911}(71,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $6192$
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.ef (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 6384 6384 0
Cusp forms 6192 6192 0
Eisenstein series 192 192 0

Trace form

\( 6192 q - 10 q^{3} - 60 q^{4} - 12 q^{6} - 42 q^{7} - 10 q^{9} + O(q^{10}) \) \( 6192 q - 10 q^{3} - 60 q^{4} - 12 q^{6} - 42 q^{7} - 10 q^{9} - 60 q^{10} - 40 q^{13} - 8 q^{15} - 524 q^{16} - 56 q^{18} - 100 q^{19} - 46 q^{21} - 20 q^{22} + 24 q^{24} - 88 q^{27} - 140 q^{28} - 72 q^{30} - 116 q^{31} - 60 q^{33} - 32 q^{34} - 30 q^{36} - 30 q^{37} - 32 q^{39} - 96 q^{40} - 82 q^{42} - 144 q^{43} - 100 q^{45} - 136 q^{46} - 24 q^{48} - 102 q^{49} + 132 q^{52} - 12 q^{54} - 36 q^{55} + 10 q^{57} - 24 q^{58} + 92 q^{60} - 36 q^{61} - 60 q^{63} - 296 q^{66} - 96 q^{67} - 114 q^{69} + 68 q^{70} - 84 q^{72} + 84 q^{73} - 66 q^{75} - 112 q^{76} + 144 q^{78} - 224 q^{79} + 22 q^{81} - 156 q^{82} - 92 q^{84} - 216 q^{85} - 34 q^{87} - 204 q^{88} + 86 q^{91} - 16 q^{93} + 164 q^{94} + 388 q^{96} - 172 q^{97} - 12 q^{99} + O(q^{100}) \)

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.