Properties

Label 3484.1.eo
Level $3484$
Weight $1$
Character orbit 3484.eo
Rep. character $\chi_{3484}(57,\cdot)$
Character field $\Q(\zeta_{132})$
Dimension $0$
Newform subspaces $0$
Sturm bound $476$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3484 = 2^{2} \cdot 13 \cdot 67 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3484.eo (of order \(132\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 871 \)
Character field: \(\Q(\zeta_{132})\)
Newform subspaces: \( 0 \)
Sturm bound: \(476\)
Trace bound: \(0\)

Dimensions

There are no modular forms of weight 1 and character 3484.eo since the weight is odd while the character is even.