↑

Properties

Label 2664.2.em
Level $2664$
Weight $2$
Character orbit 2664.em
Rep. character $\chi_{2664}(43,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1808$
Sturm bound $912$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2664 = 2^{3} \cdot 3^{2} \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2664.em (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2664 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2664, [\chi])\).

Total New Old
Modular forms 1840 1840 0
Cusp forms 1808 1808 0
Eisenstein series 32 32 0

Trace form

\( 1808 q - 2 q^{2} - 8 q^{6} - 8 q^{8} - 16 q^{9} + O(q^{10}) \) \( 1808 q - 2 q^{2} - 8 q^{6} - 8 q^{8} - 16 q^{9} - 16 q^{10} - 20 q^{12} - 4 q^{16} - 16 q^{17} + 38 q^{18} - 16 q^{19} + 28 q^{20} - 10 q^{22} - 2 q^{24} - 16 q^{26} - 22 q^{32} - 40 q^{33} - 4 q^{34} - 56 q^{35} - 60 q^{38} + 2 q^{42} - 4 q^{43} - 176 q^{44} - 16 q^{46} + 848 q^{49} + 56 q^{51} + 14 q^{52} + 22 q^{54} - 16 q^{56} + 16 q^{57} - 4 q^{59} + 2 q^{60} - 48 q^{66} + 42 q^{68} + 24 q^{70} + 46 q^{72} + 82 q^{74} - 40 q^{75} + 6 q^{76} + 4 q^{80} - 16 q^{81} - 16 q^{82} - 8 q^{83} - 52 q^{84} - 4 q^{86} + 14 q^{88} - 16 q^{89} - 288 q^{90} - 72 q^{91} + 32 q^{92} - 10 q^{94} + 92 q^{96} - 4 q^{97} - 28 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2664, [\chi])\) into newform subspaces

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