Properties

Base field \(\Q(\sqrt{-17}) \)
Level 36.2
Norm 36
New dimension 2

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

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

Level 36.2

Norm: 36
Ideal: \((6) = \left(2, a + 1\right)^{2} \cdot \left(3, a + 1\right) \cdot \left(3, a + 2\right) \)
Label: 36.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 42
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
36.2-a 2 -1 yes (twist) no
36.2-b 2 -1 yes (twist) no