Properties

Base field \(\Q(\sqrt{-17}) \)
Level 8.1
Norm 8
New dimension 4

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

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

Level 8.1

Norm: 8
Ideal: \((4) = \left(2, a + 1\right)^{3} \)
Label: 8.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 14
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

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