Properties

Label 8880.2.nc
Level $8880$
Weight $2$
Character orbit 8880.nc
Rep. character $\chi_{8880}(503,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3648$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 8880 = 2^{4} \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8880.nc (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4440 \)
Character field: \(\Q(\zeta_{36})\)
Newform subspaces: \( 0 \)
Sturm bound: \(3648\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8880, [\chi])\).

Total New Old
Modular forms 22080 0 22080
Cusp forms 21696 0 21696
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{old}}(8880, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4440, [\chi])\)\(^{\oplus 2}\)