Properties

Label 8048.2.c
Level $8048$
Weight $2$
Character orbit 8048.c
Rep. character $\chi_{8048}(4025,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $2016$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 8048 = 2^{4} \cdot 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8048.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(2016\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 1012 0 1012
Cusp forms 1004 0 1004
Eisenstein series 8 0 8

Decomposition of \(S_{2}^{\mathrm{old}}(8048, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8048, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4024, [\chi])\)\(^{\oplus 2}\)