Properties

Label 8048.2.u
Level $8048$
Weight $2$
Character orbit 8048.u
Rep. character $\chi_{8048}(19,\cdot)$
Character field $\Q(\zeta_{1004})$
Dimension $503000$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 8048 = 2^{4} \cdot 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8048.u (of order \(1004\) and degree \(500\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8048 \)
Character field: \(\Q(\zeta_{1004})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8048, [\chi])\).

Total New Old
Modular forms 505000 505000 0
Cusp forms 503000 503000 0
Eisenstein series 2000 2000 0

Decomposition of \(S_{2}^{\mathrm{new}}(8048, [\chi])\) into newform subspaces

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