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Properties

Label 1911.2.bl
Level $1911$
Weight $2$
Character orbit 1911.bl
Rep. character $\chi_{1911}(361,\cdot)$
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.bl (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

\( 186 q + 6 q^{3} + 92 q^{4} + 186 q^{9} + O(q^{10}) \) \( 186 q + 6 q^{3} + 92 q^{4} + 186 q^{9} - 16 q^{10} + 8 q^{12} + 2 q^{13} - 98 q^{16} + 4 q^{17} + 24 q^{20} - 10 q^{22} - 8 q^{23} + 83 q^{25} - 22 q^{26} + 6 q^{27} + 4 q^{29} - 3 q^{31} + 92 q^{36} - 27 q^{37} - 16 q^{38} - 6 q^{39} - 14 q^{40} - 18 q^{41} + 10 q^{43} + 12 q^{44} - 24 q^{46} + 36 q^{47} - 18 q^{48} - 18 q^{50} - 4 q^{51} + 44 q^{52} - 28 q^{53} - 30 q^{55} + 48 q^{59} + 72 q^{60} + 34 q^{61} + 40 q^{62} - 228 q^{64} + 40 q^{65} - 16 q^{66} + 8 q^{68} + 20 q^{69} - 18 q^{71} - 42 q^{73} + 28 q^{74} + 13 q^{75} + 22 q^{78} + 13 q^{79} + 186 q^{81} + 12 q^{82} + 72 q^{85} + 36 q^{86} - 18 q^{87} + 48 q^{89} - 16 q^{90} - 172 q^{92} - 3 q^{93} + 104 q^{94} - 32 q^{95} - 30 q^{96} - 27 q^{97} + O(q^{100}) \)

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

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