Properties

Label 4056.2.cj
Level $4056$
Weight $2$
Character orbit 4056.cj
Rep. character $\chi_{4056}(287,\cdot)$
Character field $\Q(\zeta_{26})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1456$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4056 = 2^{3} \cdot 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4056.cj (of order \(26\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2028 \)
Character field: \(\Q(\zeta_{26})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1456\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4056, [\chi])\).

Total New Old
Modular forms 8832 0 8832
Cusp forms 8640 0 8640
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{old}}(4056, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4056, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2028, [\chi])\)\(^{\oplus 2}\)