Properties

Label 4600.2.cm
Level $4600$
Weight $2$
Character orbit 4600.cm
Rep. character $\chi_{4600}(157,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $8560$
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.cm (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 920 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 14640 8720 5920
Cusp forms 14160 8560 5600
Eisenstein series 480 160 320

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

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