Properties

Label 8003.2.by
Level $8003$
Weight $2$
Character orbit 8003.by
Rep. character $\chi_{8003}(16,\cdot)$
Character field $\Q(\zeta_{195})$
Dimension $65472$
Sturm bound $1368$

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Defining parameters

Level: \( N \) \(=\) \( 8003 = 53 \cdot 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8003.by (of order \(195\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8003 \)
Character field: \(\Q(\zeta_{195})\)
Sturm bound: \(1368\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8003, [\chi])\).

Total New Old
Modular forms 65856 65856 0
Cusp forms 65472 65472 0
Eisenstein series 384 384 0

Decomposition of \(S_{2}^{\mathrm{new}}(8003, [\chi])\) into newform subspaces

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