Properties

Label 7360.2.cp
Level $7360$
Weight $2$
Character orbit 7360.cp
Rep. character $\chi_{7360}(91,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $6144$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 7360 = 2^{6} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7360.cp (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1472 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7360, [\chi])\).

Total New Old
Modular forms 9248 6144 3104
Cusp forms 9184 6144 3040
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(7360, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7360, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7360, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1472, [\chi])\)\(^{\oplus 2}\)