Properties

Label 7360.2.cc
Level $7360$
Weight $2$
Character orbit 7360.cc
Rep. character $\chi_{7360}(873,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2304$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 7360 = 2^{6} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7360.cc (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3680 \)
Character field: \(\Q(\zeta_{8})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2304\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 4640 0 4640
Cusp forms 4576 0 4576
Eisenstein series 64 0 64

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

\( S_{2}^{\mathrm{old}}(7360, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3680, [\chi])\)\(^{\oplus 2}\)