Properties

Label 7.3.d
Level 7
Weight 3
Character orbit d
Rep. character \(\chi_{7}(3,\cdot)\)
Character field \(\Q(\zeta_{6})\)
Dimension 0
Newforms 0
Sturm bound 2
Trace bound 0

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Defining parameters

Level: \( N \) = \( 7 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 7.d (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 7 \)
Character field: \(\Q(\zeta_{6})\)
Newforms: \( 0 \)
Sturm bound: \(2\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(7, [\chi])\).

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