Properties

Label 4002.2.br
Level $4002$
Weight $2$
Character orbit 4002.br
Rep. character $\chi_{4002}(13,\cdot)$
Character field $\Q(\zeta_{154})$
Dimension $7200$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 4002 = 2 \cdot 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4002.br (of order \(154\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 667 \)
Character field: \(\Q(\zeta_{154})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4002, [\chi])\).

Total New Old
Modular forms 43680 7200 36480
Cusp forms 42720 7200 35520
Eisenstein series 960 0 960

Decomposition of \(S_{2}^{\mathrm{new}}(4002, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4002, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4002, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(667, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1334, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2001, [\chi])\)\(^{\oplus 2}\)