Properties

Label 4334.3.g
Level $4334$
Weight $3$
Character orbit 4334.g
Rep. character $\chi_{4334}(1577,\cdot)$
Character field $\Q(\zeta_{5})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1782$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4334 = 2 \cdot 11 \cdot 197 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 4334.g (of order \(5\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 11 \)
Character field: \(\Q(\zeta_{5})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1782\)
Trace bound: \(0\)

Dimensions

There are no modular forms of weight 3 and character 4334.g since the weight is odd while the character is even.