Properties

Label 4016.2.bo
Level $4016$
Weight $2$
Character orbit 4016.bo
Rep. character $\chi_{4016}(55,\cdot)$
Character field $\Q(\zeta_{250})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1008$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4016 = 2^{4} \cdot 251 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4016.bo (of order \(250\) and degree \(100\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2008 \)
Character field: \(\Q(\zeta_{250})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1008\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4016, [\chi])\).

Total New Old
Modular forms 50800 0 50800
Cusp forms 50000 0 50000
Eisenstein series 800 0 800

Decomposition of \(S_{2}^{\mathrm{old}}(4016, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2008, [\chi])\)\(^{\oplus 2}\)