Properties

Label 4560.2.hh
Level $4560$
Weight $2$
Character orbit 4560.hh
Rep. character $\chi_{4560}(1031,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1920$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4560 = 2^{4} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4560.hh (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 456 \)
Character field: \(\Q(\zeta_{18})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1920\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4560, [\chi])\).

Total New Old
Modular forms 5856 0 5856
Cusp forms 5664 0 5664
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{old}}(4560, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4560, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2280, [\chi])\)\(^{\oplus 2}\)