Properties

Base field \(\Q(\sqrt{-7}) \)
Level 3872.14
Norm 3872
New dimension 4

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Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).

Level 3872.14

Norm: 3872
Ideal: \((22 a - 66) = \left(a\right) \cdot \left(-a + 1\right)^{4} \cdot \left(-2 a + 3\right) \cdot \left(2 a + 1\right) \)
Label: 3872.14

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 70
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
3872.14-a 2 -1 yes (twist) no
3872.14-b 2 +1 yes (twist) no
3872.14-c 2 +1 no no
3872.14-d 2 +1 yes (twist) no