Properties

Label 1140.2.bn
Level $1140$
Weight $2$
Character orbit 1140.bn
Rep. character $\chi_{1140}(239,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $464$
Sturm bound $480$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1140 = 2^{2} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1140.bn (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1140 \)
Character field: \(\Q(\zeta_{6})\)
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

\( 464q - 6q^{4} - 10q^{6} - 4q^{9} + O(q^{10}) \) \( 464q - 6q^{4} - 10q^{6} - 4q^{9} + 6q^{10} - 6q^{16} - 16q^{21} + 10q^{24} - 4q^{25} + 16q^{30} + 22q^{34} + 6q^{36} - 12q^{40} - 28q^{45} - 56q^{46} + 336q^{49} + 10q^{54} - 4q^{60} - 40q^{61} - 2q^{66} - 40q^{69} - 8q^{70} - 108q^{76} - 36q^{81} - 72q^{84} + 28q^{85} - 4q^{90} - 108q^{94} - 40q^{96} + O(q^{100}) \)

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

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