Properties

Label 8023.2.by
Level $8023$
Weight $2$
Character orbit 8023.by
Rep. character $\chi_{8023}(2020,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $8184$
Sturm bound $1368$

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Defining parameters

Level: \( N \) \(=\) \( 8023 = 71 \cdot 113 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8023.by (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8023 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(1368\)

Dimensions

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

Total New Old
Modular forms 8232 8232 0
Cusp forms 8184 8184 0
Eisenstein series 48 48 0

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

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