Properties

Label 13.2.c
Level $13$
Weight $2$
Character orbit 13.c
Rep. character $\chi_{13}(3,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 13.c (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 13 \)
Character field: \(\Q(\zeta_{3})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(13, [\chi])\).

Total New Old
Modular forms 4 4 0
Cusp forms 0 0 0
Eisenstein series 4 4 0