Properties

Label 4002.2.bc
Level $4002$
Weight $2$
Character orbit 4002.bc
Rep. character $\chi_{4002}(47,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $2640$
Sturm bound $1440$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4002 = 2 \cdot 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4002.bc (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 87 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 8736 2640 6096
Cusp forms 8544 2640 5904
Eisenstein series 192 0 192

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

\( S_{2}^{\mathrm{old}}(4002, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(87, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(174, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2001, [\chi])\)\(^{\oplus 2}\)