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Properties

Label 2310.2.k
Level $2310$
Weight $2$
Character orbit 2310.k
Rep. character $\chi_{2310}(659,\cdot)$
Character field $\Q$
Dimension $144$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2310 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2310.k (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 165 \)
Character field: \(\Q\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2310, [\chi])\).

Total New Old
Modular forms 592 144 448
Cusp forms 560 144 416
Eisenstein series 32 0 32

Trace form

\( 144 q - 144 q^{4} - 16 q^{9} + O(q^{10}) \) \( 144 q - 144 q^{4} - 16 q^{9} + 8 q^{15} + 144 q^{16} - 32 q^{31} + 16 q^{34} + 16 q^{36} + 24 q^{45} + 144 q^{49} + 32 q^{55} - 8 q^{60} - 144 q^{64} - 40 q^{66} - 16 q^{69} + 8 q^{70} + 40 q^{75} - 16 q^{81} - 48 q^{91} + 48 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2310, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2310, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2310, [\chi]) \cong \)