Properties

Label 4600.2.n
Level $4600$
Weight $2$
Character orbit 4600.n
Rep. character $\chi_{4600}(2851,\cdot)$
Character field $\Q$
Dimension $450$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 4600 = 2^{3} \cdot 5^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4600.n (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 184 \)
Character field: \(\Q\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4600, [\chi])\).

Total New Old
Modular forms 732 462 270
Cusp forms 708 450 258
Eisenstein series 24 12 12

Decomposition of \(S_{2}^{\mathrm{new}}(4600, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4600, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(184, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 2}\)