↑

Properties

Label 1343.2.j
Level $1343$
Weight $2$
Character orbit 1343.j
Rep. character $\chi_{1343}(339,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $236$
Sturm bound $240$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1343 = 17 \cdot 79 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1343.j (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1343 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1343, [\chi])\).

Total New Old
Modular forms 244 244 0
Cusp forms 236 236 0
Eisenstein series 8 8 0

Trace form

\( 236 q - 2 q^{2} - 126 q^{4} + 116 q^{9} + O(q^{10}) \) \( 236 q - 2 q^{2} - 126 q^{4} + 116 q^{9} - 4 q^{13} + 16 q^{15} - 126 q^{16} + 6 q^{17} - 24 q^{18} - 10 q^{19} - 44 q^{21} + 108 q^{25} + 8 q^{26} - 12 q^{30} + 18 q^{32} - 28 q^{33} - 15 q^{34} - 4 q^{35} + 172 q^{36} - 16 q^{38} - 38 q^{42} - 6 q^{43} + 24 q^{47} + 130 q^{49} + 38 q^{50} - 22 q^{51} + 12 q^{52} - 10 q^{53} - 14 q^{55} - 34 q^{59} - 66 q^{60} + 320 q^{64} - 56 q^{66} - 84 q^{67} - 55 q^{68} + 16 q^{69} - 8 q^{70} - 10 q^{72} + 14 q^{76} - 26 q^{77} - 154 q^{81} + 62 q^{83} + 84 q^{84} - 6 q^{85} + 34 q^{86} - 56 q^{87} + 24 q^{89} + 112 q^{93} - 32 q^{94} + 68 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1343, [\chi])\) into newform subspaces

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