Properties

Label 8043.2.h
Level $8043$
Weight $2$
Character orbit 8043.h
Rep. character $\chi_{8043}(2680,\cdot)$
Character field $\Q$
Dimension $512$
Sturm bound $2048$

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Defining parameters

Level: \( N \) \(=\) \( 8043 = 3 \cdot 7 \cdot 383 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8043.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2681 \)
Character field: \(\Q\)
Sturm bound: \(2048\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8043, [\chi])\).

Total New Old
Modular forms 1028 512 516
Cusp forms 1020 512 508
Eisenstein series 8 0 8

Decomposition of \(S_{2}^{\mathrm{new}}(8043, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8043, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8043, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2681, [\chi])\)\(^{\oplus 2}\)