Properties

Label 8007.2.cy
Level $8007$
Weight $2$
Character orbit 8007.cy
Rep. character $\chi_{8007}(22,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $7584$
Sturm bound $1896$

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Defining parameters

Level: \( N \) \(=\) \( 8007 = 3 \cdot 17 \cdot 157 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8007.cy (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2669 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(1896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8007, [\chi])\).

Total New Old
Modular forms 15232 7584 7648
Cusp forms 15104 7584 7520
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(8007, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8007, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8007, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2669, [\chi])\)\(^{\oplus 2}\)