Properties

Label 4620.2.gi
Level $4620$
Weight $2$
Character orbit 4620.gi
Rep. character $\chi_{4620}(289,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $768$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 4620 = 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4620.gi (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4620, [\chi])\).

Total New Old
Modular forms 9408 768 8640
Cusp forms 9024 768 8256
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(4620, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4620, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4620, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(770, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1155, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1540, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2310, [\chi])\)\(^{\oplus 2}\)