Properties

Label 8112.2.fi
Level $8112$
Weight $2$
Character orbit 8112.fi
Rep. character $\chi_{8112}(115,\cdot)$
Character field $\Q(\zeta_{156})$
Dimension $34944$
Sturm bound $2912$

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Defining parameters

Level: \( N \) \(=\) \( 8112 = 2^{4} \cdot 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8112.fi (of order \(156\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2704 \)
Character field: \(\Q(\zeta_{156})\)
Sturm bound: \(2912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8112, [\chi])\).

Total New Old
Modular forms 70080 34944 35136
Cusp forms 69696 34944 34752
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(8112, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8112, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8112, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2704, [\chi])\)\(^{\oplus 2}\)