Properties

Label 6384.2.by
Level $6384$
Weight $2$
Character orbit 6384.by
Rep. character $\chi_{6384}(379,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $960$
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.by (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 304 \)
Character field: \(\Q(i)\)
Sturm bound: \(2560\)

Dimensions

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

Total New Old
Modular forms 2576 960 1616
Cusp forms 2544 960 1584
Eisenstein series 32 0 32

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

\( S_{2}^{\mathrm{old}}(6384, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(912, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2128, [\chi])\)\(^{\oplus 2}\)