Properties

Base field \(\Q(\sqrt{-2}) \)
Level 28322.2
Norm 28322
New dimension 7

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Base field \(\Q(\sqrt{-2}) \)

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

Level 28322.2

Norm: 28322
Ideal: \((119 a) = \left(a\right) \cdot \left(7\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 3\right) \)
Label: 28322.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 59
Dimension of new cuspidal subspace: 7

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
28322.2-a 2 +1 yes no
28322.2-b 2 +1 yes no
28322.2-c 2 -1 yes no
28322.2-d 2 -1 yes no
28322.2-e 2 -1 yes no