Properties

Base field \(\Q(\sqrt{-7}) \)
Level 567.1
Norm 567
New dimension 7

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Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).

Level 567.1

Norm: 567
Ideal: \((-18 a + 9) = \left(3\right)^{2} \cdot \left(-2 a + 1\right) \)
Label: 567.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 9
Dimension of new cuspidal subspace: 7

Newforms

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

label weight sign base change CM
567.1-a 2 -1 yes no