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Properties

Label 912.6.bv
Level $912$
Weight $6$
Character orbit 912.bv
Rep. character $\chi_{912}(11,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $3184$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 912 = 2^{4} \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 912.bv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 912 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(912, [\chi])\).

Total New Old
Modular forms 3216 3216 0
Cusp forms 3184 3184 0
Eisenstein series 32 32 0

Trace form

\( 3184 q - 2 q^{3} - 4 q^{4} - 2 q^{6} - 32 q^{7} + O(q^{10}) \) \( 3184 q - 2 q^{3} - 4 q^{4} - 2 q^{6} - 32 q^{7} - 104 q^{10} - 8 q^{12} - 4 q^{13} + 1216 q^{16} + 120 q^{18} - 2368 q^{19} - 488 q^{21} - 4 q^{22} - 8082 q^{24} - 8 q^{27} - 4100 q^{28} - 61984 q^{30} - 4 q^{33} - 27900 q^{34} - 4098 q^{36} - 16 q^{37} - 16 q^{39} - 4 q^{40} - 334 q^{42} - 4 q^{43} + 12492 q^{45} - 62664 q^{46} - 94042 q^{48} + 7414256 q^{49} - 974 q^{51} + 9132 q^{52} + 57660 q^{54} - 8 q^{55} - 16 q^{58} - 28472 q^{60} - 96164 q^{61} - 187456 q^{64} + 107810 q^{66} - 4 q^{67} - 980 q^{69} - 589304 q^{70} + 73594 q^{72} - 243952 q^{75} + 313276 q^{76} + 62 q^{78} - 4 q^{81} + 48212 q^{82} + 172260 q^{84} - 157404 q^{85} - 564384 q^{87} - 111656 q^{88} - 307298 q^{90} - 67232 q^{91} + 484 q^{93} + 410880 q^{94} - 1089832 q^{96} - 8 q^{97} + 51660 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{6}^{\mathrm{new}}(912, [\chi])\) into newform subspaces

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