Properties

Label 5175.2.dp
Level $5175$
Weight $2$
Character orbit 5175.dp
Rep. character $\chi_{5175}(38,\cdot)$
Character field $\Q(\zeta_{660})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1440$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 5175 = 3^{2} \cdot 5^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5175.dp (of order \(660\) and degree \(160\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5175 \)
Character field: \(\Q(\zeta_{660})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1440\)
Trace bound: \(0\)

Dimensions

There are no modular forms of weight 2 and character 5175.dp since the weight is even while the character is odd.