Properties

Base field \(\Q(\sqrt{-599}) \)
Level 12.4
Norm 12
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 12.4

Norm: 12
Ideal: \((6) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(3, a + 2\right) \)
Label: 12.4

Modular form spaces

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

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
12.4-a 2 -1 no no