Properties

Label 1143.2.cl
Level $1143$
Weight $2$
Character orbit 1143.cl
Rep. character $\chi_{1143}(53,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $1512$
Sturm bound $256$

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Defining parameters

Level: \( N \) \(=\) \( 1143 = 3^{2} \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1143.cl (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 381 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(256\)

Dimensions

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

Total New Old
Modular forms 4752 1512 3240
Cusp forms 4464 1512 2952
Eisenstein series 288 0 288

Trace form

\( 1512 q + 240 q^{4} + 12 q^{7} + O(q^{10}) \) \( 1512 q + 240 q^{4} + 12 q^{7} + 18 q^{13} - 168 q^{16} - 48 q^{22} + 90 q^{25} + 240 q^{28} - 96 q^{34} + 54 q^{37} - 48 q^{43} + 12 q^{46} + 36 q^{49} + 252 q^{52} + 36 q^{55} - 132 q^{58} - 192 q^{61} + 72 q^{64} - 30 q^{67} + 72 q^{70} + 48 q^{76} - 42 q^{79} - 192 q^{82} + 252 q^{88} + 228 q^{91} + 72 q^{94} - 120 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(1143, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(381, [\chi])\)\(^{\oplus 2}\)