Properties

Label 7350.2.de
Level $7350$
Weight $2$
Character orbit 7350.de
Rep. character $\chi_{7350}(113,\cdot)$
Character field $\Q(\zeta_{140})$
Dimension $26880$
Sturm bound $3360$

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Defining parameters

Level: \( N \) \(=\) \( 7350 = 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7350.de (of order \(140\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3675 \)
Character field: \(\Q(\zeta_{140})\)
Sturm bound: \(3360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7350, [\chi])\).

Total New Old
Modular forms 81024 26880 54144
Cusp forms 80256 26880 53376
Eisenstein series 768 0 768

Decomposition of \(S_{2}^{\mathrm{new}}(7350, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7350, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7350, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3675, [\chi])\)\(^{\oplus 2}\)