Properties

Base field \(\Q(\sqrt{-599}) \)
Level 48.9
Norm 48
New dimension 1

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Base field \(\Q(\sqrt{-599}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 150\); class number \(25\).

Level 48.9

Norm: 48
Ideal: \((48) = \left(2, a + 1\right)^{4} \cdot \left(3, a\right) \)
Label: 48.9

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 27
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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