Properties

Label 2016.2.bg
Level 2016
Weight 2
Character orbit bg
Rep. character \(\chi_{2016}(689,\cdot)\)
Character field \(\Q(\zeta_{6})\)
Dimension 184
Sturm bound 768

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 2016 = 2^{5} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 2016.bg (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 504 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(768\)

Dimensions

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

Total New Old
Modular forms 800 200 600
Cusp forms 736 184 552
Eisenstein series 64 16 48

Trace form

\( 184q + 2q^{7} - 2q^{9} + O(q^{10}) \) \( 184q + 2q^{7} - 2q^{9} + 2q^{15} - 156q^{25} + 6q^{31} - 6q^{33} - 10q^{39} + 6q^{47} - 2q^{49} + 4q^{57} + 30q^{63} - 6q^{65} - 12q^{73} - 2q^{79} + 6q^{81} - 12q^{87} + 24q^{89} - 54q^{95} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(504, [\chi])\)\(^{\oplus 3}\)

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database