Properties

Label 6480.2.bm
Level $6480$
Weight $2$
Character orbit 6480.bm
Rep. character $\chi_{6480}(2269,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1136$
Sturm bound $2592$

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Defining parameters

Level: \( N \) \(=\) \( 6480 = 2^{4} \cdot 3^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6480.bm (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 80 \)
Character field: \(\Q(i)\)
Sturm bound: \(2592\)

Dimensions

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

Total New Old
Modular forms 2640 1168 1472
Cusp forms 2544 1136 1408
Eisenstein series 96 32 64

Decomposition of \(S_{2}^{\mathrm{new}}(6480, [\chi])\) into newform subspaces

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

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

\( S_{2}^{\mathrm{old}}(6480, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(80, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(240, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(720, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2160, [\chi])\)\(^{\oplus 2}\)