Properties

Label 7448.2.hr
Level $7448$
Weight $2$
Character orbit 7448.hr
Rep. character $\chi_{7448}(145,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3360$
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.hr (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 931 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(2240\)

Dimensions

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

Total New Old
Modular forms 13536 3360 10176
Cusp forms 13344 3360 9984
Eisenstein series 192 0 192

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

\( S_{2}^{\mathrm{old}}(7448, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(931, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1862, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3724, [\chi])\)\(^{\oplus 2}\)