Properties

Label 2672.2.s
Level $2672$
Weight $2$
Character orbit 2672.s
Rep. character $\chi_{2672}(9,\cdot)$
Character field $\Q(\zeta_{166})$
Dimension $0$
Newform subspaces $0$
Sturm bound $672$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2672 = 2^{4} \cdot 167 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2672.s (of order \(166\) and degree \(82\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1336 \)
Character field: \(\Q(\zeta_{166})\)
Newform subspaces: \( 0 \)
Sturm bound: \(672\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2672, [\chi])\).

Total New Old
Modular forms 27880 0 27880
Cusp forms 27224 0 27224
Eisenstein series 656 0 656

Decomposition of \(S_{2}^{\mathrm{old}}(2672, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2672, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1336, [\chi])\)\(^{\oplus 2}\)