Properties

Base field \(\Q(\sqrt{-19}) \)
Level 175.2
Norm 175
New dimension 2

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

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

Level 175.2

Norm: 175
Ideal: \((-6 a + 5) = \left(-a\right)^{2} \cdot \left(a - 2\right) \)
Label: 175.2

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
175.2-a 2 -1 no no
175.2-b 2 +1 no no