Properties

Label 6480.2.ef
Level $6480$
Weight $2$
Character orbit 6480.ef
Rep. character $\chi_{6480}(197,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $5136$
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.ef (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2160 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(2592\)

Dimensions

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

Total New Old
Modular forms 15696 5232 10464
Cusp forms 15408 5136 10272
Eisenstein series 288 96 192

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

\( S_{2}^{\mathrm{old}}(6480, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2160, [\chi])\)\(^{\oplus 2}\)