Properties

Label 8023.2.bi
Level $8023$
Weight $2$
Character orbit 8023.bi
Rep. character $\chi_{8023}(569,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $3996$
Sturm bound $1368$

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Defining parameters

Level: \( N \) \(=\) \( 8023 = 71 \cdot 113 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8023.bi (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 113 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(1368\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8023, [\chi])\).

Total New Old
Modular forms 4116 3996 120
Cusp forms 4092 3996 96
Eisenstein series 24 0 24

Decomposition of \(S_{2}^{\mathrm{new}}(8023, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8023, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8023, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(113, [\chi])\)\(^{\oplus 2}\)