Properties

Label 6840.2.fb
Level $6840$
Weight $2$
Character orbit 6840.fb
Rep. character $\chi_{6840}(3989,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $2864$
Sturm bound $2880$

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Defining parameters

Level: \( N \) \(=\) \( 6840 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6840.fb (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6840 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2880\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6840, [\chi])\).

Total New Old
Modular forms 2896 2896 0
Cusp forms 2864 2864 0
Eisenstein series 32 32 0

Decomposition of \(S_{2}^{\mathrm{new}}(6840, [\chi])\) into newform subspaces

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