Properties

Label 8007.2.dn
Level $8007$
Weight $2$
Character orbit 8007.dn
Rep. character $\chi_{8007}(310,\cdot)$
Character field $\Q(\zeta_{52})$
Dimension $11424$
Sturm bound $1896$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8007 = 3 \cdot 17 \cdot 157 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8007.dn (of order \(52\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2669 \)
Character field: \(\Q(\zeta_{52})\)
Sturm bound: \(1896\)

Dimensions

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

Total New Old
Modular forms 22848 11424 11424
Cusp forms 22656 11424 11232
Eisenstein series 192 0 192

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

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