Properties

Label 4840.2.dd
Level $4840$
Weight $2$
Character orbit 4840.dd
Rep. character $\chi_{4840}(19,\cdot)$
Character field $\Q(\zeta_{110})$
Dimension $31520$
Sturm bound $1584$

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Defining parameters

Level: \( N \) \(=\) \( 4840 = 2^{3} \cdot 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4840.dd (of order \(110\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4840 \)
Character field: \(\Q(\zeta_{110})\)
Sturm bound: \(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4840, [\chi])\).

Total New Old
Modular forms 31840 31840 0
Cusp forms 31520 31520 0
Eisenstein series 320 320 0

Decomposition of \(S_{2}^{\mathrm{new}}(4840, [\chi])\) into newform subspaces

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