Properties

Label 8024.2.cn
Level $8024$
Weight $2$
Character orbit 8024.cn
Rep. character $\chi_{8024}(53,\cdot)$
Character field $\Q(\zeta_{232})$
Dimension $120512$
Sturm bound $2160$

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Defining parameters

Level: \( N \) \(=\) \( 8024 = 2^{3} \cdot 17 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8024.cn (of order \(232\) and degree \(112\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8024 \)
Character field: \(\Q(\zeta_{232})\)
Sturm bound: \(2160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8024, [\chi])\).

Total New Old
Modular forms 121408 121408 0
Cusp forms 120512 120512 0
Eisenstein series 896 896 0

Decomposition of \(S_{2}^{\mathrm{new}}(8024, [\chi])\) into newform subspaces

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