↑

Properties

Label 2760.2.dg
Level $2760$
Weight $2$
Character orbit 2760.dg
Rep. character $\chi_{2760}(37,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $5760$
Sturm bound $1152$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2760 = 2^{3} \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2760.dg (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 920 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2760, [\chi])\).

Total New Old
Modular forms 11680 5760 5920
Cusp forms 11360 5760 5600
Eisenstein series 320 0 320

Trace form

\( 5760 q - 8 q^{6} + O(q^{10}) \) \( 5760 q - 8 q^{6} + 8 q^{16} + 32 q^{31} + 40 q^{32} - 8 q^{36} - 220 q^{42} - 48 q^{46} + 32 q^{48} - 32 q^{50} + 108 q^{52} + 32 q^{58} - 112 q^{62} - 32 q^{70} + 396 q^{80} + 576 q^{81} + 40 q^{82} + 24 q^{92} + 88 q^{96} - 56 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2760, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2760, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2760, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 2}\)