↑

Properties

Label 2790.2.bj
Level $2790$
Weight $2$
Character orbit 2790.bj
Rep. character $\chi_{2790}(1369,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $160$
Sturm bound $1152$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2790 = 2 \cdot 3^{2} \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2790.bj (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 155 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2790, [\chi])\).

Total New Old
Modular forms 1184 160 1024
Cusp forms 1120 160 960
Eisenstein series 64 0 64

Trace form

\( 160 q - 160 q^{4} + 2 q^{5} + O(q^{10}) \) \( 160 q - 160 q^{4} + 2 q^{5} + 4 q^{10} - 4 q^{11} + 160 q^{16} + 8 q^{19} - 2 q^{20} + 6 q^{25} - 12 q^{26} - 56 q^{29} + 4 q^{31} - 4 q^{34} - 8 q^{35} - 4 q^{40} + 4 q^{44} - 24 q^{46} + 92 q^{49} - 8 q^{55} - 8 q^{59} - 8 q^{61} - 160 q^{64} + 14 q^{65} + 52 q^{70} + 8 q^{71} + 28 q^{74} - 8 q^{76} - 36 q^{79} + 2 q^{80} + 76 q^{85} - 28 q^{86} - 104 q^{89} - 8 q^{91} + 120 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2790, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2790, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2790, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(155, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(310, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(465, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(930, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1395, [\chi])\)\(^{\oplus 2}\)