Properties

Base field \(\Q(\sqrt{-19}) \)
Level 171.1
Norm 171
New dimension 3

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Base field \(\Q(\sqrt{-19}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 5\); class number \(1\).

Level 171.1

Norm: 171
Ideal: \((-6 a + 3) = \left(3\right) \cdot \left(-2 a + 1\right) \)
Label: 171.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 5
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
171.1-a 2 +1 yes no
171.1-b 2 +1 yes no
171.1-c 2 +1 yes no