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Properties

Label 2790.2.y
Level $2790$
Weight $2$
Character orbit 2790.y
Rep. character $\chi_{2790}(371,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $256$
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.y (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 279 \)
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 256 912
Cusp forms 1136 256 880
Eisenstein series 32 0 32

Trace form

\( 256 q + 128 q^{4} + 8 q^{7} + O(q^{10}) \) \( 256 q + 128 q^{4} + 8 q^{7} - 128 q^{16} - 16 q^{18} + 16 q^{19} + 128 q^{25} + 16 q^{28} - 4 q^{31} + 64 q^{33} + 8 q^{39} - 24 q^{41} - 8 q^{45} - 120 q^{49} + 64 q^{51} - 8 q^{63} - 256 q^{64} + 16 q^{66} - 56 q^{67} - 88 q^{69} + 16 q^{72} + 8 q^{76} + 72 q^{78} - 120 q^{81} + 32 q^{87} - 32 q^{90} + 92 q^{93} + 24 q^{95} + 8 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2790, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(279, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(558, [\chi])\)\(^{\oplus 2}\)