Properties

Label 7448.2.jd
Level $7448$
Weight $2$
Character orbit 7448.jd
Rep. character $\chi_{7448}(139,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $40176$
Sturm bound $2240$

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Defining parameters

Level: \( N \) \(=\) \( 7448 = 2^{3} \cdot 7^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7448.jd (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7448 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(2240\)

Dimensions

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

Total New Old
Modular forms 40464 40464 0
Cusp forms 40176 40176 0
Eisenstein series 288 288 0

Decomposition of \(S_{2}^{\mathrm{new}}(7448, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.