↑

Properties

Label 832.4.cb
Level $832$
Weight $4$
Character orbit 832.cb
Rep. character $\chi_{832}(77,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $2672$
Sturm bound $448$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 832 = 2^{6} \cdot 13 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 832.cb (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 832 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(832, [\chi])\).

Total New Old
Modular forms 2704 2704 0
Cusp forms 2672 2672 0
Eisenstein series 32 32 0

Trace form

\( 2672 q - 16 q^{3} - 16 q^{4} - 16 q^{9} + O(q^{10}) \) \( 2672 q - 16 q^{3} - 16 q^{4} - 16 q^{9} - 16 q^{10} - 16 q^{12} - 8 q^{13} - 16 q^{14} - 16 q^{16} - 16 q^{17} - 16 q^{22} - 16 q^{23} - 16 q^{25} + 32 q^{26} - 16 q^{27} - 16 q^{29} - 16 q^{30} - 16 q^{35} - 16 q^{36} + 864 q^{38} - 8 q^{39} - 3296 q^{40} - 16 q^{42} - 16 q^{43} - 16 q^{48} - 16 q^{49} - 16 q^{51} + 3304 q^{52} - 16 q^{53} + 560 q^{55} - 16 q^{56} - 16 q^{61} - 3072 q^{62} - 16 q^{64} - 16 q^{65} - 144 q^{66} + 2048 q^{68} - 16 q^{69} - 16 q^{74} - 4432 q^{75} - 16 q^{77} + 12112 q^{78} - 16 q^{79} - 16 q^{81} + 13904 q^{82} - 16 q^{87} + 6224 q^{88} + 18704 q^{90} - 8 q^{91} - 16 q^{92} - 16 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(832, [\chi])\) into newform subspaces

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