Properties

Label 15.2.e
Level 15
Weight 2
Character orbit e
Rep. character \(\chi_{15}(2,\cdot)\)
Character field \(\Q(\zeta_{4})\)
Dimension 0
Newform subspaces 0
Sturm bound 4
Trace bound 0

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Defining parameters

Level: \( N \) \(=\) \( 15 = 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 15.e (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 15 \)
Character field: \(\Q(i)\)
Newform subspaces: \( 0 \)
Sturm bound: \(4\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(15, [\chi])\).

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

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database