Properties

Label 9360.2.bad
Level $9360$
Weight $2$
Character orbit 9360.bad
Rep. character $\chi_{9360}(251,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1792$
Sturm bound $4032$

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Defining parameters

Level: \( N \) \(=\) \( 9360 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9360.bad (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 624 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(4032\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9360, [\chi])\).

Total New Old
Modular forms 8128 1792 6336
Cusp forms 8000 1792 6208
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(9360, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9360, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9360, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(624, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1872, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3120, [\chi])\)\(^{\oplus 2}\)