Properties

Label 8015.2.fe
Level $8015$
Weight $2$
Character orbit 8015.fe
Rep. character $\chi_{8015}(226,\cdot)$
Character field $\Q(\zeta_{114})$
Dimension $22104$
Sturm bound $1840$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8015 = 5 \cdot 7 \cdot 229 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8015.fe (of order \(114\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1603 \)
Character field: \(\Q(\zeta_{114})\)
Sturm bound: \(1840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8015, [\chi])\).

Total New Old
Modular forms 33264 22104 11160
Cusp forms 32976 22104 10872
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(8015, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8015, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8015, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1603, [\chi])\)\(^{\oplus 2}\)