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Properties

Label 2790.2.s
Level $2790$
Weight $2$
Character orbit 2790.s
Rep. character $\chi_{2790}(1049,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $384$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2790 = 2 \cdot 3^{2} \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2790.s (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1395 \)
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 1168 384 784
Cusp forms 1136 384 752
Eisenstein series 32 0 32

Trace form

\( 384 q - 192 q^{4} - 8 q^{9} + O(q^{10}) \) \( 384 q - 192 q^{4} - 8 q^{9} + 6 q^{15} - 192 q^{16} + 6 q^{20} + 12 q^{25} + 18 q^{30} - 12 q^{31} - 8 q^{36} + 8 q^{39} + 20 q^{45} - 384 q^{49} + 44 q^{51} - 36 q^{55} - 12 q^{59} - 12 q^{60} + 384 q^{64} + 120 q^{65} + 8 q^{66} - 68 q^{69} - 6 q^{70} - 60 q^{71} - 48 q^{74} + 6 q^{75} - 6 q^{80} - 48 q^{81} + 34 q^{90} + 126 q^{95} - 108 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2790, [\chi]) \cong \)