Properties

Label 6030.2.k
Level $6030$
Weight $2$
Character orbit 6030.k
Rep. character $\chi_{6030}(2011,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $528$
Sturm bound $2448$

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Defining parameters

Level: \( N \) \(=\) \( 6030 = 2 \cdot 3^{2} \cdot 5 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6030.k (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(2448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6030, [\chi])\).

Total New Old
Modular forms 2464 528 1936
Cusp forms 2432 528 1904
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(6030, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6030, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6030, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(18, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(45, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(90, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(603, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1206, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3015, [\chi])\)\(^{\oplus 2}\)