Properties

Label 4830.2.ci
Level $4830$
Weight $2$
Character orbit 4830.ci
Rep. character $\chi_{4830}(181,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $1280$
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.ci (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 161 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(2304\)

Dimensions

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

Total New Old
Modular forms 11680 1280 10400
Cusp forms 11360 1280 10080
Eisenstein series 320 0 320

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

\( S_{2}^{\mathrm{old}}(4830, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(322, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1610, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2415, [\chi])\)\(^{\oplus 2}\)