Properties

Label 8085.2.fk
Level $8085$
Weight $2$
Character orbit 8085.fk
Rep. character $\chi_{8085}(251,\cdot)$
Character field $\Q(\zeta_{70})$
Dimension $21504$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 8085 = 3 \cdot 5 \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8085.fk (of order \(70\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1617 \)
Character field: \(\Q(\zeta_{70})\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8085, [\chi])\).

Total New Old
Modular forms 32448 21504 10944
Cusp forms 32064 21504 10560
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(8085, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8085, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8085, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1617, [\chi])\)\(^{\oplus 2}\)