Properties

Base field \(\Q(\sqrt{-19}) \)
Level 308.4
Norm 308
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 308.4

Norm: 308
Ideal: \((-8 a + 2) = \left(2\right) \cdot \left(a - 2\right) \cdot \left(a - 3\right) \)
Label: 308.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 7
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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