Properties

Label 4005.2.g
Level $4005$
Weight $2$
Character orbit 4005.g
Rep. character $\chi_{4005}(3826,\cdot)$
Character field $\Q$
Dimension $150$
Sturm bound $1080$

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Defining parameters

Level: \( N \) \(=\) \( 4005 = 3^{2} \cdot 5 \cdot 89 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4005.g (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 89 \)
Character field: \(\Q\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4005, [\chi])\).

Total New Old
Modular forms 548 150 398
Cusp forms 532 150 382
Eisenstein series 16 0 16

Decomposition of \(S_{2}^{\mathrm{new}}(4005, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4005, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4005, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(89, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(267, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(445, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(801, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1335, [\chi])\)\(^{\oplus 2}\)