Properties

Label 4014.2.m
Level $4014$
Weight $2$
Character orbit 4014.m
Rep. character $\chi_{4014}(1601,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $152$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 4014 = 2 \cdot 3^{2} \cdot 223 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4014.m (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 669 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4014, [\chi])\).

Total New Old
Modular forms 1360 152 1208
Cusp forms 1328 152 1176
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(4014, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4014, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4014, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(669, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1338, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2007, [\chi])\)\(^{\oplus 2}\)