Properties

Base field \(\Q(\sqrt{-2}) \)
Level 30276.2
Norm 30276
New dimension 6

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

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

Level 30276.2

Norm: 30276
Ideal: \((174) = \left(a\right)^{2} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(29\right) \)
Label: 30276.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 87
Dimension of new cuspidal subspace: 6

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
30276.2-a 2 -1 yes no
30276.2-b 2 -1 yes no
30276.2-c 2 -1 yes no
30276.2-d 2 -1 yes no