Properties

Label 4028.2.bf
Level $4028$
Weight $2$
Character orbit 4028.bf
Rep. character $\chi_{4028}(211,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $3216$
Sturm bound $1080$

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Defining parameters

Level: \( N \) \(=\) \( 4028 = 2^{2} \cdot 19 \cdot 53 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4028.bf (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4028 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4028, [\chi])\).

Total New Old
Modular forms 3264 3264 0
Cusp forms 3216 3216 0
Eisenstein series 48 48 0

Decomposition of \(S_{2}^{\mathrm{new}}(4028, [\chi])\) into newform subspaces

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