Properties

Base field \(\Q(\sqrt{-13}) \)
Level 166.2
Norm 166
New dimension 2

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Base field \(\Q(\sqrt{-13}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).

Level 166.2

Norm: 166
Ideal: \((-3 a + 7) = \left(2, a + 1\right) \cdot \left(83, a + 53\right) \)
Label: 166.2

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
166.2-a 2 -1 no no
166.2-b 2 -1 no no