Properties

Label 7942.2.q
Level $7942$
Weight $2$
Character orbit 7942.q
Rep. character $\chi_{7942}(307,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $2040$
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.q (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 209 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(2280\)

Dimensions

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

Total New Old
Modular forms 7080 2040 5040
Cusp forms 6600 2040 4560
Eisenstein series 480 0 480

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

\( S_{2}^{\mathrm{old}}(7942, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(418, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3971, [\chi])\)\(^{\oplus 2}\)