Properties

Label 6384.2.gg
Level $6384$
Weight $2$
Character orbit 6384.gg
Rep. character $\chi_{6384}(2215,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2560$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 6384 = 2^{4} \cdot 3 \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6384.gg (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1064 \)
Character field: \(\Q(\zeta_{6})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2560\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6384, [\chi])\).

Total New Old
Modular forms 2592 0 2592
Cusp forms 2528 0 2528
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{old}}(6384, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6384, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3192, [\chi])\)\(^{\oplus 2}\)