Properties

Base field \(\Q(\sqrt{-19}) \)
Level 19.1
Norm 19
New dimension 1

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Base field \(\Q(\sqrt{-19}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 5\); class number \(1\).

Level 19.1

Norm: 19
Ideal: \((-2 a + 1) = \left(-2 a + 1\right) \)
Label: 19.1

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
19.1-a 2 +1 yes no