Properties

Label 6171.2.bw
Level $6171$
Weight $2$
Character orbit 6171.bw
Rep. character $\chi_{6171}(103,\cdot)$
Character field $\Q(\zeta_{55})$
Dimension $14080$
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.bw (of order \(55\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 121 \)
Character field: \(\Q(\zeta_{55})\)
Sturm bound: \(1584\)

Dimensions

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

Total New Old
Modular forms 31840 14080 17760
Cusp forms 31520 14080 17440
Eisenstein series 320 0 320

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

\( S_{2}^{\mathrm{old}}(6171, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2057, [\chi])\)\(^{\oplus 2}\)