Properties

Label 6027.2.bl
Level $6027$
Weight $2$
Character orbit 6027.bl
Rep. character $\chi_{6027}(778,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $2352$
Sturm bound $1568$

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Defining parameters

Level: \( N \) \(=\) \( 6027 = 3 \cdot 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6027.bl (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2009 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(1568\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6027, [\chi])\).

Total New Old
Modular forms 4728 2352 2376
Cusp forms 4680 2352 2328
Eisenstein series 48 0 48

Decomposition of \(S_{2}^{\mathrm{new}}(6027, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6027, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2009, [\chi])\)\(^{\oplus 2}\)