Properties

Label 5070.2.cf
Level $5070$
Weight $2$
Character orbit 5070.cf
Rep. character $\chi_{5070}(53,\cdot)$
Character field $\Q(\zeta_{52})$
Dimension $8736$
Sturm bound $2184$

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Defining parameters

Level: \( N \) \(=\) \( 5070 = 2 \cdot 3 \cdot 5 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5070.cf (of order \(52\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2535 \)
Character field: \(\Q(\zeta_{52})\)
Sturm bound: \(2184\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5070, [\chi])\).

Total New Old
Modular forms 26400 8736 17664
Cusp forms 26016 8736 17280
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(5070, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5070, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5070, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2535, [\chi])\)\(^{\oplus 2}\)