Properties

Base field \(\Q(\sqrt{-3}) \)
Level 20577.2
Norm 20577
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 20577.2

Norm: 20577
Ideal: \((19 a + 133) = \left(a + 1\right) \cdot \left(-2 a + 5\right)^{2} \cdot \left(2 a + 3\right) \)
Label: 20577.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 15
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
20577.2-a 2 -1 no no