Properties

Label 4012.2.bi
Level $4012$
Weight $2$
Character orbit 4012.bi
Rep. character $\chi_{4012}(9,\cdot)$
Character field $\Q(\zeta_{232})$
Dimension $10080$
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.bi (of order \(232\) and degree \(112\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1003 \)
Character field: \(\Q(\zeta_{232})\)
Sturm bound: \(1080\)

Dimensions

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

Total New Old
Modular forms 61152 10080 51072
Cusp forms 59808 10080 49728
Eisenstein series 1344 0 1344

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(4012, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4012, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1003, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2006, [\chi])\)\(^{\oplus 2}\)