Properties

Label 7581.2.cm
Level $7581$
Weight $2$
Character orbit 7581.cm
Rep. character $\chi_{7581}(400,\cdot)$
Character field $\Q(\zeta_{19})$
Dimension $6840$
Sturm bound $2026$

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Defining parameters

Level: \( N \) \(=\) \( 7581 = 3 \cdot 7 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7581.cm (of order \(19\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 361 \)
Character field: \(\Q(\zeta_{19})\)
Sturm bound: \(2026\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7581, [\chi])\).

Total New Old
Modular forms 18288 6840 11448
Cusp forms 18144 6840 11304
Eisenstein series 144 0 144

Decomposition of \(S_{2}^{\mathrm{new}}(7581, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7581, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7581, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1083, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2527, [\chi])\)\(^{\oplus 2}\)