Properties

Label 8993.2.e
Level $8993$
Weight $2$
Character orbit 8993.e
Rep. character $\chi_{8993}(3175,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1472$
Sturm bound $1656$

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Defining parameters

Level: \( N \) \(=\) \( 8993 = 17 \cdot 23^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8993.e (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 17 \)
Character field: \(\Q(i)\)
Sturm bound: \(1656\)

Dimensions

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

Total New Old
Modular forms 1704 1556 148
Cusp forms 1608 1472 136
Eisenstein series 96 84 12

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(8993, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8993, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(391, [\chi])\)\(^{\oplus 2}\)