Properties

Label 7440.2.cy
Level $7440$
Weight $2$
Character orbit 7440.cy
Rep. character $\chi_{7440}(2789,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $3056$
Sturm bound $3072$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 7440 = 2^{4} \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7440.cy (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7440 \)
Character field: \(\Q(i)\)
Sturm bound: \(3072\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7440, [\chi])\).

Total New Old
Modular forms 3088 3088 0
Cusp forms 3056 3056 0
Eisenstein series 32 32 0

Decomposition of \(S_{2}^{\mathrm{new}}(7440, [\chi])\) into newform subspaces

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