Properties

Label 8001.2.mu
Level $8001$
Weight $2$
Character orbit 8001.mu
Rep. character $\chi_{8001}(170,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $12312$
Sturm bound $2048$

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Defining parameters

Level: \( N \) \(=\) \( 8001 = 3^{2} \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8001.mu (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2667 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(2048\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8001, [\chi])\).

Total New Old
Modular forms 37152 12312 24840
Cusp forms 36576 12312 24264
Eisenstein series 576 0 576

Decomposition of \(S_{2}^{\mathrm{new}}(8001, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8001, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8001, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2667, [\chi])\)\(^{\oplus 2}\)