Properties

Label 8036.2.ei
Level $8036$
Weight $2$
Character orbit 8036.ei
Rep. character $\chi_{8036}(187,\cdot)$
Character field $\Q(\zeta_{210})$
Dimension $56256$
Sturm bound $2352$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8036 = 2^{2} \cdot 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8036.ei (of order \(210\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8036 \)
Character field: \(\Q(\zeta_{210})\)
Sturm bound: \(2352\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8036, [\chi])\).

Total New Old
Modular forms 56640 56640 0
Cusp forms 56256 56256 0
Eisenstein series 384 384 0

Decomposition of \(S_{2}^{\mathrm{new}}(8036, [\chi])\) into newform subspaces

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