Properties

Label 7600.2.gp
Level $7600$
Weight $2$
Character orbit 7600.gp
Rep. character $\chi_{7600}(207,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $2160$
Sturm bound $2400$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7600.gp (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 380 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(2400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).

Total New Old
Modular forms 14832 2160 12672
Cusp forms 13968 2160 11808
Eisenstein series 864 0 864

Decomposition of \(S_{2}^{\mathrm{new}}(7600, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7600, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(380, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1520, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1900, [\chi])\)\(^{\oplus 3}\)