Properties

Label 4176.2.co
Level $4176$
Weight $2$
Character orbit 4176.co
Rep. character $\chi_{4176}(347,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $2864$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 4176 = 2^{4} \cdot 3^{2} \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4176.co (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4176 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4176, [\chi])\).

Total New Old
Modular forms 2896 2896 0
Cusp forms 2864 2864 0
Eisenstein series 32 32 0

Decomposition of \(S_{2}^{\mathrm{new}}(4176, [\chi])\) into newform subspaces

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