Properties

Label 280.6.bc
Level $280$
Weight $6$
Character orbit 280.bc
Rep. character $\chi_{280}(31,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $0$
Newform subspaces $0$
Sturm bound $288$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 280.bc (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 28 \)
Character field: \(\Q(\zeta_{6})\)
Newform subspaces: \( 0 \)
Sturm bound: \(288\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(280, [\chi])\).

Total New Old
Modular forms 496 0 496
Cusp forms 464 0 464
Eisenstein series 32 0 32

Decomposition of \(S_{6}^{\mathrm{old}}(280, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(280, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(28, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(140, [\chi])\)\(^{\oplus 2}\)