Properties

Base field \(\Q(\sqrt{-3}) \)
Level 412.1
Norm 412
New dimension 1

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Base field \(\Q(\sqrt{-3}) \)

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

Level 412.1

Norm: 412
Ideal: \((-4 a + 22) = \left(2\right) \cdot \left(-2 a + 11\right) \)
Label: 412.1

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
412.1-a 2 -1 no no