Properties

Label 6720.2.gl
Level $6720$
Weight $2$
Character orbit 6720.gl
Rep. character $\chi_{6720}(1039,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $768$
Sturm bound $3072$

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Defining parameters

Level: \( N \) \(=\) \( 6720 = 2^{6} \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6720.gl (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 560 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(3072\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6720, [\chi])\).

Total New Old
Modular forms 6272 768 5504
Cusp forms 6016 768 5248
Eisenstein series 256 0 256

Decomposition of \(S_{2}^{\mathrm{new}}(6720, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6720, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6720, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(560, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1680, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2240, [\chi])\)\(^{\oplus 2}\)