Properties

Label 6840.2.oi
Level $6840$
Weight $2$
Character orbit 6840.oi
Rep. character $\chi_{6840}(1423,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2880$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6840 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6840.oi (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 380 \)
Character field: \(\Q(\zeta_{36})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2880\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6840, [\chi])\).

Total New Old
Modular forms 17664 0 17664
Cusp forms 16896 0 16896
Eisenstein series 768 0 768

Decomposition of \(S_{2}^{\mathrm{old}}(6840, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6840, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(380, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1140, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3420, [\chi])\)\(^{\oplus 2}\)