Properties

Base field \(\Q(\sqrt{-14}) \)
Level 72.2
Norm 72
New dimension 6

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Base field \(\Q(\sqrt{-14}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 14\); class number \(4\).

Level 72.2

Norm: 72
Ideal: \((12) = \left(2, a\right)^{3} \cdot \left(3, a + 1\right) \cdot \left(3, a + 2\right) \)
Label: 72.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 14
Dimension of new cuspidal subspace: 6

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
72.2-a 2 +1 yes no
72.2-b 2 -1 no no
72.2-c 2 -1 no no
72.2-d 2 -1 no no
72.2-e 2 -1 no no
72.2-f 2 +1 yes no