Properties

Label 4025.2.s
Level $4025$
Weight $2$
Character orbit 4025.s
Rep. character $\chi_{4025}(2299,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $568$
Sturm bound $960$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4025 = 5^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4025.s (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 805 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4025, [\chi])\).

Total New Old
Modular forms 984 584 400
Cusp forms 936 568 368
Eisenstein series 48 16 32

Decomposition of \(S_{2}^{\mathrm{new}}(4025, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4025, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4025, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 2}\)