Properties

Label 4029.2.cw
Level $4029$
Weight $2$
Character orbit 4029.cw
Rep. character $\chi_{4029}(53,\cdot)$
Character field $\Q(\zeta_{312})$
Dimension $45696$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 4029 = 3 \cdot 17 \cdot 79 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4029.cw (of order \(312\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4029 \)
Character field: \(\Q(\zeta_{312})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4029, [\chi])\).

Total New Old
Modular forms 46464 46464 0
Cusp forms 45696 45696 0
Eisenstein series 768 768 0

Decomposition of \(S_{2}^{\mathrm{new}}(4029, [\chi])\) into newform subspaces

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