Properties

Base field \(\Q(\sqrt{-17}) \)
Level 9.2
Norm 9
New dimension 4

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Base field \(\Q(\sqrt{-17}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 17\); class number \(4\).

Level 9.2

Norm: 9
Ideal: \((3) = \left(3, a + 1\right) \cdot \left(3, a + 2\right) \)
Label: 9.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 4
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
9.2-a 2 +1 yes (twist) no
9.2-b 2 +1 yes (twist) no
9.2-c 2 +1 yes (twist) no
9.2-d 2 +1 yes (twist) no