Properties

Label 6040.2.ey
Level $6040$
Weight $2$
Character orbit 6040.ey
Rep. character $\chi_{6040}(199,\cdot)$
Character field $\Q(\zeta_{150})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1824$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6040 = 2^{3} \cdot 5 \cdot 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6040.ey (of order \(150\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3020 \)
Character field: \(\Q(\zeta_{150})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1824\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).

Total New Old
Modular forms 36800 0 36800
Cusp forms 36160 0 36160
Eisenstein series 640 0 640

Decomposition of \(S_{2}^{\mathrm{old}}(6040, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3020, [\chi])\)\(^{\oplus 2}\)