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Properties

Label 2310.2.cv
Level $2310$
Weight $2$
Character orbit 2310.cv
Rep. character $\chi_{2310}(149,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1536$
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.cv (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1155 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 4736 1536 3200
Cusp forms 4480 1536 2944
Eisenstein series 256 0 256

Trace form

\( 1536 q - 192 q^{4} - 12 q^{9} + O(q^{10}) \) \( 1536 q - 192 q^{4} - 12 q^{9} + 192 q^{16} + 16 q^{25} + 12 q^{31} + 16 q^{36} - 20 q^{39} - 10 q^{40} - 24 q^{45} + 72 q^{49} + 20 q^{51} + 84 q^{55} + 80 q^{61} + 384 q^{64} + 64 q^{66} + 70 q^{70} - 68 q^{75} + 84 q^{81} + 200 q^{85} - 160 q^{90} + 80 q^{91} - 80 q^{94} + 192 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2310, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 2}\)