Properties

Base field \(\Q(\sqrt{-2}) \)
Level 1458.5
Norm 1458
New dimension 3

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

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

Level 1458.5

Norm: 1458
Ideal: \((-9 a + 36) = \left(a\right) \cdot \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{4} \)
Label: 1458.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 13
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1458.5-a 2 -1 no no
1458.5-b 2 -1 no no
1458.5-c 2 +1 no no