Properties

Base field \(\Q(\sqrt{-1}) \)
Level 83232.1
Norm 83232
New dimension 5

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Base field \(\Q(\sqrt{-1}) \)

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

Level 83232.1

Norm: 83232
Ideal: \((84 i - 276) = \left(i + 1\right)^{5} \cdot \left(3\right) \cdot \left(i + 4\right)^{2} \)
Label: 83232.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 77
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
83232.1-a 2 -1 no no
83232.1-b 2 +1 no no
83232.1-c 2 -1 no no
83232.1-d 2 +1 no no
83232.1-e 2 -1 no no