Properties

Base field \(\Q(\sqrt{-15}) \)
Level 152.3
Norm 152
New dimension 2

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Base field \(\Q(\sqrt{-15}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 4\); class number \(2\).

Level 152.3

Norm: 152
Ideal: \((76) = \left(2, a\right)^{2} \cdot \left(2, a + 1\right) \cdot \left(-2 a + 3\right) \)
Label: 152.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 8
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
152.3-a 2 -1 no no
152.3-b 2 +1 no no