Properties

Label 7448.2.gx
Level $7448$
Weight $2$
Character orbit 7448.gx
Rep. character $\chi_{7448}(639,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2240$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 7448 = 2^{3} \cdot 7^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7448.gx (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3724 \)
Character field: \(\Q(\zeta_{42})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2240\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7448, [\chi])\).

Total New Old
Modular forms 13536 0 13536
Cusp forms 13344 0 13344
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{old}}(7448, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7448, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3724, [\chi])\)\(^{\oplus 2}\)