Properties

Base field \(\Q(\sqrt{-2}) \)
Level 25992.5
Norm 25992
New dimension 20

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

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

Level 25992.5

Norm: 25992
Ideal: \((114 a) = \left(a\right)^{3} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(-3 a + 1\right) \cdot \left(3 a + 1\right) \)
Label: 25992.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 169
Dimension of new cuspidal subspace: 20

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
25992.5-a 2 +1 yes no
25992.5-b 2 -1 yes no
25992.5-c 2 +1 no no
25992.5-d 2 +1 no no
25992.5-e 2 +1 no no
25992.5-f 2 -1 no no
25992.5-g 2 -1 no no
25992.5-h 2 +1 no no
25992.5-i 2 -1 yes no
25992.5-j 2 -1 yes no