Properties

Label 6027.2.cu
Level $6027$
Weight $2$
Character orbit 6027.cu
Rep. character $\chi_{6027}(206,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $8952$
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.cu (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 147 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(1568\)

Dimensions

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

Total New Old
Modular forms 9456 8952 504
Cusp forms 9360 8952 408
Eisenstein series 96 0 96

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

\( S_{2}^{\mathrm{old}}(6027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(147, [\chi])\)\(^{\oplus 2}\)