Properties

Label 4730.2.bo
Level $4730$
Weight $2$
Character orbit 4730.bo
Rep. character $\chi_{4730}(251,\cdot)$
Character field $\Q(\zeta_{15})$
Dimension $1408$
Sturm bound $1584$

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Defining parameters

Level: \( N \) \(=\) \( 4730 = 2 \cdot 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4730.bo (of order \(15\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 473 \)
Character field: \(\Q(\zeta_{15})\)
Sturm bound: \(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4730, [\chi])\).

Total New Old
Modular forms 6400 1408 4992
Cusp forms 6272 1408 4864
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(4730, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4730, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4730, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(473, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(946, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2365, [\chi])\)\(^{\oplus 2}\)