Properties

Label 6930.2.ft
Level $6930$
Weight $2$
Character orbit 6930.ft
Rep. character $\chi_{6930}(269,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1536$
Sturm bound $3456$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6930 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6930.ft (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1155 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(3456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6930, [\chi])\).

Total New Old
Modular forms 14080 1536 12544
Cusp forms 13568 1536 12032
Eisenstein series 512 0 512

Decomposition of \(S_{2}^{\mathrm{new}}(6930, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6930, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6930, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2310, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3465, [\chi])\)\(^{\oplus 2}\)