Properties

Label 7935.2.bm
Level $7935$
Weight $2$
Character orbit 7935.bm
Rep. character $\chi_{7935}(11,\cdot)$
Character field $\Q(\zeta_{506})$
Dimension $161920$
Sturm bound $2208$

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Defining parameters

Level: \( N \) \(=\) \( 7935 = 3 \cdot 5 \cdot 23^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7935.bm (of order \(506\) and degree \(220\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1587 \)
Character field: \(\Q(\zeta_{506})\)
Sturm bound: \(2208\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7935, [\chi])\).

Total New Old
Modular forms 243760 161920 81840
Cusp forms 242000 161920 80080
Eisenstein series 1760 0 1760

Decomposition of \(S_{2}^{\mathrm{new}}(7935, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7935, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7935, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1587, [\chi])\)\(^{\oplus 2}\)