Properties

Label 6384.2.ep
Level $6384$
Weight $2$
Character orbit 6384.ep
Rep. character $\chi_{6384}(449,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $480$
Sturm bound $2560$

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Defining parameters

Level: \( N \) \(=\) \( 6384 = 2^{4} \cdot 3 \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6384.ep (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 57 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2560\)

Dimensions

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

Total New Old
Modular forms 2608 480 2128
Cusp forms 2512 480 2032
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{new}}(6384, [\chi])\) into newform subspaces

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

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

\( S_{2}^{\mathrm{old}}(6384, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(57, [\chi])\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(114, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(228, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(399, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(798, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(912, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1596, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3192, [\chi])\)\(^{\oplus 2}\)