↑

Properties

Label 2340.2.eg
Level $2340$
Weight $2$
Character orbit 2340.eg
Rep. character $\chi_{2340}(203,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1984$
Sturm bound $1008$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2340 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2340.eg (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2340 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2340, [\chi])\).

Total New Old
Modular forms 2048 2048 0
Cusp forms 1984 1984 0
Eisenstein series 64 64 0

Trace form

\( 1984 q - 12 q^{2} - 12 q^{5} - 8 q^{6} + O(q^{10}) \) \( 1984 q - 12 q^{2} - 12 q^{5} - 8 q^{6} - 16 q^{10} - 4 q^{13} - 8 q^{16} - 6 q^{20} - 16 q^{21} - 4 q^{22} - 40 q^{24} + 8 q^{30} - 12 q^{32} + 8 q^{33} + 8 q^{34} + 24 q^{38} - 4 q^{40} - 24 q^{41} - 20 q^{42} + 12 q^{45} - 16 q^{46} - 20 q^{48} - 896 q^{49} + 72 q^{50} + 14 q^{52} - 8 q^{54} - 96 q^{57} - 68 q^{60} - 16 q^{61} - 12 q^{65} - 16 q^{66} + 36 q^{68} - 32 q^{73} + 12 q^{76} - 38 q^{78} - 32 q^{81} - 16 q^{82} - 32 q^{84} + 16 q^{85} + 96 q^{86} - 8 q^{88} + 12 q^{90} - 12 q^{92} - 64 q^{96} - 8 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2340, [\chi])\) into newform subspaces

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