Properties

Label 7942.2.bd
Level $7942$
Weight $2$
Character orbit 7942.bd
Rep. character $\chi_{7942}(115,\cdot)$
Character field $\Q(\zeta_{95})$
Dimension $27360$
Sturm bound $2280$

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Defining parameters

Level: \( N \) \(=\) \( 7942 = 2 \cdot 11 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7942.bd (of order \(95\) and degree \(72\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3971 \)
Character field: \(\Q(\zeta_{95})\)
Sturm bound: \(2280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7942, [\chi])\).

Total New Old
Modular forms 82368 27360 55008
Cusp forms 81792 27360 54432
Eisenstein series 576 0 576

Decomposition of \(S_{2}^{\mathrm{new}}(7942, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7942, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7942, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3971, [\chi])\)\(^{\oplus 2}\)