Properties

Base field \(\Q(\sqrt{-19}) \)
Level 175.4
Norm 175
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 175.4

Norm: 175
Ideal: \((5 a - 10) = \left(-a\right) \cdot \left(a - 1\right) \cdot \left(a - 2\right) \)
Label: 175.4

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
175.4-a 2 +1 no no