Properties

Label 7448.2.cn
Level $7448$
Weight $2$
Character orbit 7448.cn
Rep. character $\chi_{7448}(3117,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1440$
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.cn (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 56 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2240\)

Dimensions

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

Total New Old
Modular forms 2272 1440 832
Cusp forms 2208 1440 768
Eisenstein series 64 0 64

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

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

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

\( S_{2}^{\mathrm{old}}(7448, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(56, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(392, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 2}\)