Properties

Label 7360.2.fi
Level $7360$
Weight $2$
Character orbit 7360.fi
Rep. character $\chi_{7360}(101,\cdot)$
Character field $\Q(\zeta_{176})$
Dimension $61440$
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.fi (of order \(176\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1472 \)
Character field: \(\Q(\zeta_{176})\)
Sturm bound: \(2304\)

Dimensions

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

Total New Old
Modular forms 92480 61440 31040
Cusp forms 91840 61440 30400
Eisenstein series 640 0 640

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

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