Properties

Base field \(\Q(\sqrt{-17}) \)
Level 21.1
Norm 21
New dimension 2

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Base field \(\Q(\sqrt{-17}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 17\); class number \(4\).

Level 21.1

Norm: 21
Ideal: \((21) = \left(3, a + 1\right) \cdot \left(7, a + 2\right) \)
Label: 21.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 6
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

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