Properties

Label 8085.2.n
Level $8085$
Weight $2$
Character orbit 8085.n
Rep. character $\chi_{8085}(7349,\cdot)$
Character field $\Q$
Dimension $800$
Sturm bound $2688$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8085 = 3 \cdot 5 \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8085.n (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 105 \)
Character field: \(\Q\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8085, [\chi])\).

Total New Old
Modular forms 1376 800 576
Cusp forms 1312 800 512
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(8085, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8085, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8085, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(105, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 2}\)