Properties

Label 6171.2.q
Level $6171$
Weight $2$
Character orbit 6171.q
Rep. character $\chi_{6171}(3266,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $2528$
Sturm bound $1584$

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Defining parameters

Level: \( N \) \(=\) \( 6171 = 3 \cdot 11^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6171.q (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 561 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6171, [\chi])\).

Total New Old
Modular forms 3264 2656 608
Cusp forms 3072 2528 544
Eisenstein series 192 128 64

Decomposition of \(S_{2}^{\mathrm{new}}(6171, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6171, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6171, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)