Properties

Label 8670.2.i
Level $8670$
Weight $2$
Character orbit 8670.i
Rep. character $\chi_{8670}(5453,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1080$
Sturm bound $3672$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8670 = 2 \cdot 3 \cdot 5 \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8670.i (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 255 \)
Character field: \(\Q(i)\)
Sturm bound: \(3672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8670, [\chi])\).

Total New Old
Modular forms 3816 1080 2736
Cusp forms 3528 1080 2448
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(8670, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8670, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8670, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(510, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4335, [\chi])\)\(^{\oplus 2}\)