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Properties

Label 2310.2.cj
Level $2310$
Weight $2$
Character orbit 2310.cj
Rep. character $\chi_{2310}(593,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $768$
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.cj (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1155 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 2368 768 1600
Cusp forms 2240 768 1472
Eisenstein series 128 0 128

Trace form

\( 768 q + O(q^{10}) \) \( 768 q + 384 q^{16} + 8 q^{22} - 16 q^{25} + 60 q^{33} - 32 q^{36} - 16 q^{37} + 32 q^{42} + 96 q^{45} + 56 q^{58} + 16 q^{67} + 24 q^{70} + 192 q^{75} + 16 q^{81} - 48 q^{82} + 4 q^{88} - 128 q^{91} + 64 q^{93} + O(q^{100}) \)

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

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