Properties

Label 8712.2.do
Level $8712$
Weight $2$
Character orbit 8712.do
Rep. character $\chi_{8712}(461,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $31600$
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.do (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8712 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(3168\)

Dimensions

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

Total New Old
Modular forms 31760 31760 0
Cusp forms 31600 31600 0
Eisenstein series 160 160 0

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

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