Properties

Label 4830.2.bm
Level $4830$
Weight $2$
Character orbit 4830.bm
Rep. character $\chi_{4830}(1979,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $704$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 4830 = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4830.bm (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 105 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2304\)

Dimensions

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

Total New Old
Modular forms 2336 704 1632
Cusp forms 2272 704 1568
Eisenstein series 64 0 64

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

\( S_{2}^{\mathrm{old}}(4830, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(105, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(210, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2415, [\chi])\)\(^{\oplus 2}\)