Properties

Label 2496.2.ew
Level $2496$
Weight $2$
Character orbit 2496.ew
Rep. character $\chi_{2496}(137,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $0$
Newform subspaces $0$
Sturm bound $896$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2496 = 2^{6} \cdot 3 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2496.ew (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1248 \)
Character field: \(\Q(\zeta_{24})\)
Newform subspaces: \( 0 \)
Sturm bound: \(896\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2496, [\chi])\).

Total New Old
Modular forms 3648 0 3648
Cusp forms 3520 0 3520
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{old}}(2496, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2496, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1248, [\chi])\)\(^{\oplus 2}\)