Properties

Base field \(\Q(\sqrt{-19}) \)
Level 175.3
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 175.3

Norm: 175
Ideal: \((-5 a - 5) = \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-a - 1\right) \)
Label: 175.3

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
175.3-a 2 +1 no no