Properties

Label 4026.2.dm
Level $4026$
Weight $2$
Character orbit 4026.dm
Rep. character $\chi_{4026}(175,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $992$
Sturm bound $1488$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4026 = 2 \cdot 3 \cdot 11 \cdot 61 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4026.dm (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 671 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(1488\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4026, [\chi])\).

Total New Old
Modular forms 6016 992 5024
Cusp forms 5888 992 4896
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(4026, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4026, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(671, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1342, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2013, [\chi])\)\(^{\oplus 2}\)