Properties

Label 2624.2.dg
Level $2624$
Weight $2$
Character orbit 2624.dg
Rep. character $\chi_{2624}(169,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $0$
Newform subspaces $0$
Sturm bound $672$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2624 = 2^{6} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2624.dg (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1312 \)
Character field: \(\Q(\zeta_{40})\)
Newform subspaces: \( 0 \)
Sturm bound: \(672\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2624, [\chi])\).

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

Decomposition of \(S_{2}^{\mathrm{old}}(2624, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2624, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1312, [\chi])\)\(^{\oplus 2}\)