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Properties

Label 2310.2.j
Level $2310$
Weight $2$
Character orbit 2310.j
Rep. character $\chi_{2310}(419,\cdot)$
Character field $\Q$
Dimension $160$
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.j (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 105 \)
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 592 160 432
Cusp forms 560 160 400
Eisenstein series 32 0 32

Trace form

\( 160 q + 160 q^{4} - 8 q^{9} + O(q^{10}) \) \( 160 q + 160 q^{4} - 8 q^{9} + 16 q^{15} + 160 q^{16} + 32 q^{21} + 16 q^{30} - 8 q^{36} + 16 q^{39} + 48 q^{46} - 8 q^{49} + 48 q^{51} + 16 q^{60} + 160 q^{64} + 24 q^{70} + 32 q^{79} - 24 q^{81} + 32 q^{84} - 80 q^{85} - 32 q^{91} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2310, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(105, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(210, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 2}\)