Properties

Label 8993.2.bn
Level $8993$
Weight $2$
Character orbit 8993.bn
Rep. character $\chi_{8993}(5,\cdot)$
Character field $\Q(\zeta_{4048})$
Dimension $1453760$
Sturm bound $1656$

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Defining parameters

Level: \( N \) \(=\) \( 8993 = 17 \cdot 23^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8993.bn (of order \(4048\) and degree \(1760\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8993 \)
Character field: \(\Q(\zeta_{4048})\)
Sturm bound: \(1656\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8993, [\chi])\).

Total New Old
Modular forms 1460800 1460800 0
Cusp forms 1453760 1453760 0
Eisenstein series 7040 7040 0

Decomposition of \(S_{2}^{\mathrm{new}}(8993, [\chi])\) into newform subspaces

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