Properties

Label 6045.2.bs
Level $6045$
Weight $2$
Character orbit 6045.bs
Rep. character $\chi_{6045}(1366,\cdot)$
Character field $\Q(\zeta_{5})$
Dimension $1024$
Sturm bound $1792$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6045 = 3 \cdot 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6045.bs (of order \(5\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 31 \)
Character field: \(\Q(\zeta_{5})\)
Sturm bound: \(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6045, [\chi])\).

Total New Old
Modular forms 3616 1024 2592
Cusp forms 3552 1024 2528
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(6045, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6045, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6045, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(93, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(31, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(155, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(403, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(465, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1209, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2015, [\chi])\)\(^{\oplus 2}\)