Properties

Label 4830.2.j
Level $4830$
Weight $2$
Character orbit 4830.j
Rep. character $\chi_{4830}(2759,\cdot)$
Character field $\Q$
Dimension $288$
Sturm bound $2304$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4830 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4830.j (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 345 \)
Character field: \(\Q\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4830, [\chi])\).

Total New Old
Modular forms 1168 288 880
Cusp forms 1136 288 848
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(4830, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4830, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4830, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(345, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(690, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2415, [\chi])\)\(^{\oplus 2}\)