Properties

Label 6030.2.cw
Level $6030$
Weight $2$
Character orbit 6030.cw
Rep. character $\chi_{6030}(253,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $3400$
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.cw (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 335 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(2448\)

Dimensions

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

Total New Old
Modular forms 24800 3400 21400
Cusp forms 24160 3400 20760
Eisenstein series 640 0 640

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

\( S_{2}^{\mathrm{old}}(6030, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(335, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(670, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1005, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2010, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3015, [\chi])\)\(^{\oplus 2}\)