Properties

Label 8035.2.s
Level $8035$
Weight $2$
Character orbit 8035.s
Rep. character $\chi_{8035}(6,\cdot)$
Character field $\Q(\zeta_{803})$
Dimension $385920$
Sturm bound $1608$

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Defining parameters

Level: \( N \) \(=\) \( 8035 = 5 \cdot 1607 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8035.s (of order \(803\) and degree \(720\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1607 \)
Character field: \(\Q(\zeta_{803})\)
Sturm bound: \(1608\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8035, [\chi])\).

Total New Old
Modular forms 580320 385920 194400
Cusp forms 577440 385920 191520
Eisenstein series 2880 0 2880

Decomposition of \(S_{2}^{\mathrm{new}}(8035, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8035, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8035, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1607, [\chi])\)\(^{\oplus 2}\)