Properties

Label 8018.2.dz
Level $8018$
Weight $2$
Character orbit 8018.dz
Rep. character $\chi_{8018}(249,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $12744$
Sturm bound $2120$

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Defining parameters

Level: \( N \) \(=\) \( 8018 = 2 \cdot 19 \cdot 211 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8018.dz (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4009 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(2120\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8018, [\chi])\).

Total New Old
Modular forms 38304 12744 25560
Cusp forms 38016 12744 25272
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(8018, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8018, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4009, [\chi])\)\(^{\oplus 2}\)