Properties

Base field \(\Q(\sqrt{-59}) \)
Level 60.4
Norm 60
New dimension 1

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Base field \(\Q(\sqrt{-59}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 15\); class number \(3\).

Level 60.4

Norm: 60
Ideal: \((2 a - 2) = \left(2\right) \cdot \left(3, a + 2\right) \cdot \left(5, a + 4\right) \)
Label: 60.4

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
60.4-a 2 +1 no no