Properties

Label 2016.2.gd
Level 2016
Weight 2
Character orbit gd
Rep. character \(\chi_{2016}(155,\cdot)\)
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.gd (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

\( 2304q + O(q^{10}) \) \( 2304q - 48q^{27} + 40q^{30} + 64q^{36} - 48q^{39} + 104q^{48} + 312q^{50} - 72q^{58} + 56q^{60} + 128q^{66} - 120q^{72} + 48q^{76} - 24q^{78} + 112q^{87} - 120q^{90} - 456q^{92} - 64q^{96} + 128q^{99} + O(q^{100}) \)

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

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

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database