Properties

Base field \(\Q(\sqrt{-19}) \)
Level 308.3
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 308.3

Norm: 308
Ideal: \((2 a - 18) = \left(2\right) \cdot \left(a - 2\right) \cdot \left(a + 2\right) \)
Label: 308.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 3
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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