Properties

Label 27.2.c
Level 27
Weight 2
Character orbit c
Rep. character \(\chi_{27}(10,\cdot)\)
Character field \(\Q(\zeta_{3})\)
Dimension 0
Newforms 0
Sturm bound 6
Trace bound 0

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Defining parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 27.c (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 9 \)
Character field: \(\Q(\zeta_{3})\)
Newforms: \( 0 \)
Sturm bound: \(6\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(27, [\chi])\).

Total New Old
Modular forms 12 4 8
Cusp forms 0 0 0
Eisenstein series 12 4 8