Properties

Base field \(\Q(\sqrt{-71}) \)
Level 576.11
Norm 576
New dimension 3

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Base field \(\Q(\sqrt{-71}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 18\); class number \(7\).

Level 576.11

Norm: 576
Ideal: \((24) = \left(2, a\right)^{3} \cdot \left(2, a + 1\right)^{3} \cdot \left(3, a\right) \cdot \left(3, a + 2\right) \)
Label: 576.11

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 95
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
576.11-a 2 -1 yes no
576.11-b 2 +1 no no
576.11-c 2 +1 no no