Properties

Label 7280.2.ld
Level $7280$
Weight $2$
Character orbit 7280.ld
Rep. character $\chi_{7280}(3209,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2688$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 7280 = 2^{4} \cdot 5 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7280.ld (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3640 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2688\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7280, [\chi])\).

Total New Old
Modular forms 5440 0 5440
Cusp forms 5312 0 5312
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{old}}(7280, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3640, [\chi])\)\(^{\oplus 2}\)