Properties

Base field \(\Q(\sqrt{-1}) \)
Level 15842.2
Norm 15842
New dimension 13

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

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

Level 15842.2

Norm: 15842
Ideal: \((89 i + 89) = \left(i + 1\right) \cdot \left(-5 i + 8\right) \cdot \left(-5 i - 8\right) \)
Label: 15842.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 27
Dimension of new cuspidal subspace: 13

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
15842.2-a 2 +1 no no
15842.2-b 2 -1 yes no
15842.2-c 2 +1 no no
15842.2-d 2 -1 no no
15842.2-e 2 -1 no no
15842.2-f 2 +1 yes no