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Properties

Label 2016.3.ey
Level $2016$
Weight $3$
Character orbit 2016.ey
Rep. character $\chi_{2016}(83,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $6112$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2016 = 2^{5} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 2016.ey (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2016 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(2016, [\chi])\).

Total New Old
Modular forms 6176 6176 0
Cusp forms 6112 6112 0
Eisenstein series 64 64 0

Trace form

\( 6112 q - 24 q^{2} - 8 q^{4} - 4 q^{7} - 16 q^{9} + O(q^{10}) \) \( 6112 q - 24 q^{2} - 8 q^{4} - 4 q^{7} - 16 q^{9} - 24 q^{11} - 12 q^{14} - 32 q^{15} - 8 q^{16} - 16 q^{18} - 8 q^{21} - 8 q^{22} - 24 q^{23} - 8 q^{25} - 16 q^{28} - 24 q^{29} - 88 q^{30} - 24 q^{32} + 184 q^{36} - 32 q^{37} - 16 q^{39} + 632 q^{42} - 8 q^{43} - 32 q^{46} - 24 q^{50} + 128 q^{51} - 12 q^{56} - 16 q^{57} - 8 q^{58} + 112 q^{60} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 4 q^{70} - 16 q^{72} - 24 q^{74} - 12 q^{77} - 168 q^{78} - 16 q^{79} + 1368 q^{84} + 192 q^{85} - 24 q^{86} - 8 q^{88} - 16 q^{91} - 24 q^{92} + 56 q^{93} - 16 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{3}^{\mathrm{new}}(2016, [\chi])\) into newform subspaces

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