Properties

Label 6027.2.bd
Level $6027$
Weight $2$
Character orbit 6027.bd
Rep. character $\chi_{6027}(146,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $2208$
Sturm bound $1568$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6027 = 3 \cdot 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6027.bd (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 861 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1568\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6027, [\chi])\).

Total New Old
Modular forms 3200 2272 928
Cusp forms 3072 2208 864
Eisenstein series 128 64 64

Decomposition of \(S_{2}^{\mathrm{new}}(6027, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6027, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(861, [\chi])\)\(^{\oplus 2}\)