Properties

Label 7605.2.br
Level $7605$
Weight $2$
Character orbit 7605.br
Rep. character $\chi_{7605}(2029,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1816$
Sturm bound $2184$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 7605 = 3^{2} \cdot 5 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7605.br (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 45 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2184\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7605, [\chi])\).

Total New Old
Modular forms 2240 1904 336
Cusp forms 2128 1816 312
Eisenstein series 112 88 24

Decomposition of \(S_{2}^{\mathrm{new}}(7605, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7605, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7605, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(45, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 2}\)