Properties

Label 6480.2.cm
Level $6480$
Weight $2$
Character orbit 6480.cm
Rep. character $\chi_{6480}(377,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2592$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 6480 = 2^{4} \cdot 3^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6480.cm (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 360 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2592\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6480, [\chi])\).

Total New Old
Modular forms 5376 0 5376
Cusp forms 4992 0 4992
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{old}}(6480, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6480, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(360, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1080, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3240, [\chi])\)\(^{\oplus 2}\)