Properties

Base field \(\Q(\sqrt{-3}) \)
Level 1009.1
Norm 1009
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 1009.1

Norm: 1009
Ideal: \((-8 a + 35) = \left(-8 a + 35\right) \)
Label: 1009.1

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
1009.1-a 2 +1 no no