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Properties

Label 1911.2.cw
Level $1911$
Weight $2$
Character orbit 1911.cw
Rep. character $\chi_{1911}(8,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $3072$
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.cw (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1911 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(522\)

Dimensions

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

Total New Old
Modular forms 3168 3168 0
Cusp forms 3072 3072 0
Eisenstein series 96 96 0

Trace form

\( 3072 q - 20 q^{3} - 18 q^{6} - 32 q^{7} - 20 q^{9} + O(q^{10}) \) \( 3072 q - 20 q^{3} - 18 q^{6} - 32 q^{7} - 20 q^{9} - 20 q^{13} - 22 q^{15} + 424 q^{16} - 16 q^{18} - 72 q^{19} - 14 q^{21} - 40 q^{22} - 30 q^{24} - 44 q^{27} + 52 q^{28} - 18 q^{33} - 28 q^{34} - 100 q^{37} + 2 q^{39} - 24 q^{40} - 188 q^{42} - 80 q^{45} - 44 q^{46} - 96 q^{48} - 232 q^{52} - 42 q^{54} - 24 q^{55} - 40 q^{57} - 36 q^{58} - 62 q^{60} - 24 q^{61} - 18 q^{63} - 64 q^{66} - 64 q^{67} - 200 q^{70} + 54 q^{72} - 52 q^{73} - 12 q^{76} + 54 q^{78} - 112 q^{79} - 52 q^{81} - 22 q^{84} - 84 q^{85} - 236 q^{87} - 184 q^{91} - 158 q^{93} + 328 q^{94} + 218 q^{96} - 16 q^{97} - 60 q^{99} + O(q^{100}) \)

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.