Properties

Base field \(\Q(\sqrt{-1}) \)
Level 15138.2
Norm 15138
New dimension 5

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

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

Level 15138.2

Norm: 15138
Ideal: \((87 i + 87) = \left(i + 1\right) \cdot \left(3\right) \cdot \left(-2 i + 5\right) \cdot \left(2 i + 5\right) \)
Label: 15138.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 27
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
15138.2-a 2 +1 yes no
15138.2-b 2 +1 yes no
15138.2-c 2 +1 yes no
15138.2-d 2 -1 yes no
15138.2-e 2 -1 yes no