Properties

Label 4600.2.bk
Level $4600$
Weight $2$
Character orbit 4600.bk
Rep. character $\chi_{4600}(1471,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1440$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4600 = 2^{3} \cdot 5^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4600.bk (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2300 \)
Character field: \(\Q(\zeta_{10})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1440\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 2912 0 2912
Cusp forms 2848 0 2848
Eisenstein series 64 0 64

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

\( S_{2}^{\mathrm{old}}(4600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2300, [\chi])\)\(^{\oplus 2}\)