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Properties

Label 2016.2.ez
Level $2016$
Weight $2$
Character orbit 2016.ez
Rep. character $\chi_{2016}(85,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $2304$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 2016 = 2^{5} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2016.ez (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 288 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2016, [\chi])\).

Total New Old
Modular forms 3104 2304 800
Cusp forms 3040 2304 736
Eisenstein series 64 0 64

Trace form

\( 2304 q + O(q^{10}) \) \( 2304 q + 48 q^{27} - 40 q^{30} - 16 q^{36} + 112 q^{38} + 48 q^{39} + 104 q^{48} - 104 q^{50} + 72 q^{58} + 56 q^{60} + 48 q^{62} - 128 q^{66} + 120 q^{72} - 48 q^{76} - 24 q^{78} - 128 q^{80} - 208 q^{86} + 112 q^{87} + 120 q^{90} + 152 q^{92} + 256 q^{95} + 64 q^{96} + 128 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2016, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2016, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(288, [\chi])\)\(^{\oplus 2}\)