Properties

Base field \(\Q(\sqrt{-15}) \)
Level 48.1
Norm 48
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 48.1

Norm: 48
Ideal: \((48) = \left(2, a\right)^{4} \cdot \left(3, a + 1\right) \)
Label: 48.1

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

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