Properties

Base field \(\Q(\sqrt{-71}) \)
Level 58.1
Norm 58
New dimension 1

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

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

Level 58.1

Norm: 58
Ideal: \((58) = \left(2, a\right) \cdot \left(29, a + 12\right) \)
Label: 58.1

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
58.1-a 2 +1 no no