Properties

Base field \(\Q(\sqrt{-31}) \)
Level 49.1
Norm 49
New dimension 1

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Base field \(\Q(\sqrt{-31}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 8\); class number \(3\).

Level 49.1

Norm: 49
Ideal: \((49) = \left(7, a + 2\right)^{2} \)
Label: 49.1

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
49.1-a 2 +1 no no