Properties

Label 5929.2.cd
Level $5929$
Weight $2$
Character orbit 5929.cd
Rep. character $\chi_{5929}(10,\cdot)$
Character field $\Q(\zeta_{462})$
Dimension $73680$
Sturm bound $1232$

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Defining parameters

Level: \( N \) \(=\) \( 5929 = 7^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5929.cd (of order \(462\) and degree \(120\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5929 \)
Character field: \(\Q(\zeta_{462})\)
Sturm bound: \(1232\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5929, [\chi])\).

Total New Old
Modular forms 74160 74160 0
Cusp forms 73680 73680 0
Eisenstein series 480 480 0

Decomposition of \(S_{2}^{\mathrm{new}}(5929, [\chi])\) into newform subspaces

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