Properties

Label 4012.2.o
Level $4012$
Weight $2$
Character orbit 4012.o
Rep. character $\chi_{4012}(943,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $2144$
Sturm bound $1080$

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Defining parameters

Level: \( N \) \(=\) \( 4012 = 2^{2} \cdot 17 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4012.o (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4012 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4012, [\chi])\).

Total New Old
Modular forms 2176 2176 0
Cusp forms 2144 2144 0
Eisenstein series 32 32 0

Decomposition of \(S_{2}^{\mathrm{new}}(4012, [\chi])\) into newform subspaces

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