Properties

Base field \(\Q(\sqrt{-2}) \)
Level 16384.1
Norm 16384
New dimension 26

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

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

Level 16384.1

Norm: 16384
Ideal: \((128) = \left(a\right)^{14} \)
Label: 16384.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 133
Dimension of new cuspidal subspace: 26

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
16384.1-a 2 +1 yes $-4$
16384.1-b 2 +1 yes $-4$