Properties

Label 8040.2.hj
Level $8040$
Weight $2$
Character orbit 8040.hj
Rep. character $\chi_{8040}(77,\cdot)$
Character field $\Q(\zeta_{132})$
Dimension $64960$
Sturm bound $3264$

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Defining parameters

Level: \( N \) \(=\) \( 8040 = 2^{3} \cdot 3 \cdot 5 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8040.hj (of order \(132\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8040 \)
Character field: \(\Q(\zeta_{132})\)
Sturm bound: \(3264\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8040, [\chi])\).

Total New Old
Modular forms 65600 65600 0
Cusp forms 64960 64960 0
Eisenstein series 640 640 0

Decomposition of \(S_{2}^{\mathrm{new}}(8040, [\chi])\) into newform subspaces

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