Properties

Base field \(\Q(\sqrt{-3}) \)
Level 50169.1
Norm 50169
New dimension 1

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Base field \(\Q(\sqrt{-3}) \)

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

Level 50169.1

Norm: 50169
Ideal: \((-17 a + 232) = \left(a + 1\right) \cdot \left(-a - 2\right) \cdot \left(7 a + 45\right) \)
Label: 50169.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 1
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
50169.1-a 2 +1 no no