Properties

Label 8712.2.cb
Level $8712$
Weight $2$
Character orbit 8712.cb
Rep. character $\chi_{8712}(197,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $5280$
Sturm bound $3168$

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Defining parameters

Level: \( N \) \(=\) \( 8712 = 2^{3} \cdot 3^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8712.cb (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2904 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(3168\)

Dimensions

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

Total New Old
Modular forms 15920 5280 10640
Cusp forms 15760 5280 10480
Eisenstein series 160 0 160

Decomposition of \(S_{2}^{\mathrm{new}}(8712, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

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

\( S_{2}^{\mathrm{old}}(8712, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2904, [\chi])\)\(^{\oplus 2}\)