Properties

Label 1140.2.w
Level $1140$
Weight $2$
Character orbit 1140.w
Rep. character $\chi_{1140}(227,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $464$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1140 = 2^{2} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1140.w (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1140 \)
Character field: \(\Q(i)\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1140, [\chi])\).

Total New Old
Modular forms 496 496 0
Cusp forms 464 464 0
Eisenstein series 32 32 0

Trace form

\( 464q - 8q^{6} + O(q^{10}) \) \( 464q - 8q^{6} - 8q^{16} - 16q^{25} - 40q^{28} + 16q^{30} + 8q^{36} - 48q^{45} + 24q^{57} - 40q^{58} + 32q^{61} - 72q^{66} - 16q^{73} - 40q^{76} - 16q^{81} - 120q^{82} - 16q^{85} - 32q^{93} + 48q^{96} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1140, [\chi])\) into newform subspaces

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