↑

Properties

Label 1143.2.z
Level $1143$
Weight $2$
Character orbit 1143.z
Rep. character $\chi_{1143}(125,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $264$
Sturm bound $256$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.z (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 381 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(256\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1143, [\chi])\).

Total New Old
Modular forms 792 264 528
Cusp forms 744 264 480
Eisenstein series 48 0 48

Trace form

\( 264 q + 48 q^{4} + 28 q^{7} + O(q^{10}) \) \( 264 q + 48 q^{4} + 28 q^{7} - 8 q^{13} - 92 q^{16} + 24 q^{19} - 32 q^{22} - 20 q^{25} - 16 q^{31} + 40 q^{34} - 32 q^{37} - 28 q^{43} - 112 q^{46} + 112 q^{49} - 168 q^{52} - 84 q^{55} + 112 q^{58} + 68 q^{61} + 88 q^{64} + 112 q^{67} - 112 q^{70} - 8 q^{73} - 56 q^{76} + 28 q^{79} + 56 q^{82} + 28 q^{85} + 132 q^{88} - 112 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1143, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1143, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1143, [\chi]) \cong \)