Properties

Label 10000.2.da
Level $10000$
Weight $2$
Character orbit 10000.da
Rep. character $\chi_{10000}(21,\cdot)$
Character field $\Q(\zeta_{500})$
Dimension $299600$
Sturm bound $3000$

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Defining parameters

Level: \( N \) \(=\) \( 10000 = 2^{4} \cdot 5^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 10000.da (of order \(500\) and degree \(200\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 10000 \)
Character field: \(\Q(\zeta_{500})\)
Sturm bound: \(3000\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(10000, [\chi])\).

Total New Old
Modular forms 300400 300400 0
Cusp forms 299600 299600 0
Eisenstein series 800 800 0

Decomposition of \(S_{2}^{\mathrm{new}}(10000, [\chi])\) into newform subspaces

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