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Properties

Label 1911.2.t
Level $1911$
Weight $2$
Character orbit 1911.t
Rep. character $\chi_{1911}(1096,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $186$
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.t (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 91 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(522\)

Dimensions

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

Total New Old
Modular forms 554 186 368
Cusp forms 490 186 304
Eisenstein series 64 0 64

Trace form

\( 186 q - 3 q^{3} - 184 q^{4} - 93 q^{9} + O(q^{10}) \) \( 186 q - 3 q^{3} - 184 q^{4} - 93 q^{9} + 8 q^{10} + 12 q^{11} + 8 q^{12} + 2 q^{13} + 196 q^{16} - 8 q^{17} - 3 q^{19} + 24 q^{20} - 10 q^{22} + 16 q^{23} + 83 q^{25} + 26 q^{26} + 6 q^{27} + 4 q^{29} + 3 q^{31} + 92 q^{36} - 16 q^{38} + 15 q^{39} - 14 q^{40} - 18 q^{41} + 10 q^{43} - 12 q^{44} - 36 q^{47} - 18 q^{48} - 18 q^{50} - 4 q^{51} + 2 q^{52} - 28 q^{53} - 30 q^{55} - 144 q^{58} - 72 q^{60} - 17 q^{61} + 40 q^{62} - 228 q^{64} + 58 q^{65} - 16 q^{66} + 69 q^{67} - 16 q^{68} + 20 q^{69} - 18 q^{71} + 42 q^{73} - 56 q^{74} - 26 q^{75} + 22 q^{78} + 13 q^{79} - 48 q^{80} - 93 q^{81} - 6 q^{82} + 72 q^{85} - 36 q^{86} + 36 q^{87} - 16 q^{90} - 172 q^{92} - 52 q^{94} + 64 q^{95} + 30 q^{96} - 27 q^{97} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(1911, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1911, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(91, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(637, [\chi])\)\(^{\oplus 2}\)