Properties

Base field \(\Q(\sqrt{-2}) \)
Level 10032.8
Norm 10032
New dimension 5

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

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

Level 10032.8

Norm: 10032
Ideal: \((4 a - 100) = \left(a\right)^{4} \cdot \left(a - 1\right) \cdot \left(a - 3\right) \cdot \left(3 a + 1\right) \)
Label: 10032.8

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 39
Dimension of new cuspidal subspace: 5

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
10032.8-a 2 +1 no no
10032.8-b 2 +1 no no
10032.8-c 2 -1 no no