Properties

Label 1224.4.bz
Level $1224$
Weight $4$
Character orbit 1224.bz
Rep. character $\chi_{1224}(47,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $0$
Newform subspaces $0$
Sturm bound $864$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1224 = 2^{3} \cdot 3^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1224.bz (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 612 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(864\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1224, [\chi])\).

Total New Old
Modular forms 2624 0 2624
Cusp forms 2560 0 2560
Eisenstein series 64 0 64

Decomposition of \(S_{4}^{\mathrm{old}}(1224, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1224, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(612, [\chi])\)\(^{\oplus 2}\)