Properties

Label 7200.2.hv
Level $7200$
Weight $2$
Character orbit 7200.hv
Rep. character $\chi_{7200}(367,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $5696$
Sturm bound $2880$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 7200 = 2^{5} \cdot 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7200.hv (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1800 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(2880\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7200, [\chi])\).

Total New Old
Modular forms 23296 5824 17472
Cusp forms 22784 5696 17088
Eisenstein series 512 128 384

Decomposition of \(S_{2}^{\mathrm{new}}(7200, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7200, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1800, [\chi])\)\(^{\oplus 3}\)