Properties

Label 8712.2.eu
Level $8712$
Weight $2$
Character orbit 8712.eu
Rep. character $\chi_{8712}(47,\cdot)$
Character field $\Q(\zeta_{330})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3168$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 8712 = 2^{3} \cdot 3^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8712.eu (of order \(330\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4356 \)
Character field: \(\Q(\zeta_{330})\)
Newform subspaces: \( 0 \)
Sturm bound: \(3168\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8712, [\chi])\).

Total New Old
Modular forms 127360 0 127360
Cusp forms 126080 0 126080
Eisenstein series 1280 0 1280

Decomposition of \(S_{2}^{\mathrm{old}}(8712, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8712, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4356, [\chi])\)\(^{\oplus 2}\)