Properties

Base field \(\Q(\sqrt{-209}) \)
Level 64.1
Norm 64
New dimension 82

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Base field \(\Q(\sqrt{-209}) \)

Generator \(a\), with minimal polynomial \(x^2 + 209\); class number \(20\).

Level 64.1

Norm: 64
Ideal: \((8) = \left(2, a + 1\right)^{6} \)
Label: 64.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 544
Dimension of new cuspidal subspace: 82

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