↑

Properties

Label 1288.2.s
Level $1288$
Weight $2$
Character orbit 1288.s
Rep. character $\chi_{1288}(275,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $376$
Sturm bound $384$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1288 = 2^{3} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1288.s (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1288 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1288, [\chi])\).

Total New Old
Modular forms 392 392 0
Cusp forms 376 376 0
Eisenstein series 16 16 0

Trace form

\( 376 q - 4 q^{2} - 4 q^{3} - 4 q^{8} - 184 q^{9} + O(q^{10}) \) \( 376 q - 4 q^{2} - 4 q^{3} - 4 q^{8} - 184 q^{9} + 10 q^{12} + 8 q^{16} - 10 q^{18} - 8 q^{24} - 176 q^{25} + 12 q^{26} + 8 q^{27} - 14 q^{32} + 12 q^{35} - 40 q^{36} - 16 q^{41} + 8 q^{46} - 108 q^{48} - 8 q^{49} + 12 q^{50} + 64 q^{52} - 6 q^{54} - 22 q^{58} - 4 q^{59} + 56 q^{62} - 36 q^{64} + 54 q^{70} - 44 q^{72} - 4 q^{73} + 60 q^{78} - 188 q^{81} + 24 q^{92} - 40 q^{94} + 24 q^{96} - 2 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1288, [\chi])\) into newform subspaces

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