Properties

Base field \(\Q(\sqrt{-2}) \)
Level 19208.1
Norm 19208
New dimension 14

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

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

Level 19208.1

Norm: 19208
Ideal: \((98 a) = \left(a\right)^{3} \cdot \left(7\right)^{2} \)
Label: 19208.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 117
Dimension of new cuspidal subspace: 14

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
19208.1-a 2 +1 yes no
19208.1-b 2 -1 yes no
19208.1-c 2 -1 yes no
19208.1-d 2 +1 yes no
19208.1-e 2 -1 yes no
19208.1-f 2 +1 yes no