Properties

Label 4018.2.bo
Level $4018$
Weight $2$
Character orbit 4018.bo
Rep. character $\chi_{4018}(27,\cdot)$
Character field $\Q(\zeta_{56})$
Dimension $4704$
Sturm bound $1176$

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Defining parameters

Level: \( N \) \(=\) \( 4018 = 2 \cdot 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4018.bo (of order \(56\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2009 \)
Character field: \(\Q(\zeta_{56})\)
Sturm bound: \(1176\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4018, [\chi])\).

Total New Old
Modular forms 14208 4704 9504
Cusp forms 14016 4704 9312
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(4018, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4018, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2009, [\chi])\)\(^{\oplus 2}\)