Properties

Label 7581.2.et
Level $7581$
Weight $2$
Character orbit 7581.et
Rep. character $\chi_{7581}(86,\cdot)$
Character field $\Q(\zeta_{342})$
Dimension $108972$
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.et (of order \(342\) and degree \(108\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7581 \)
Character field: \(\Q(\zeta_{342})\)
Sturm bound: \(2026\)

Dimensions

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

Total New Old
Modular forms 109836 109836 0
Cusp forms 108972 108972 0
Eisenstein series 864 864 0

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

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