Properties

Base field \(\Q(\sqrt{-6}) \)
Level 165.4
Norm 165
New dimension 2

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Base field \(\Q(\sqrt{-6}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 6\); class number \(2\).

Level 165.4

Norm: 165
Ideal: \((165) = \left(3, a\right) \cdot \left(5, a + 3\right) \cdot \left(11, a + 7\right) \)
Label: 165.4

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
165.4-a 2 -1 no no
165.4-b 2 +1 no no