Properties

Base field \(\Q(\sqrt{-7}) \)
Level 4356.4
Norm 4356
New dimension 5

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

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

Level 4356.4

Norm: 4356
Ideal: \((-48 a + 6) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right) \cdot \left(-2 a + 3\right)^{2} \)
Label: 4356.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 31
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
4356.4-a 2 -1 no no
4356.4-b 2 +1 no no
4356.4-c 2 +1 no no
4356.4-d 2 -1 yes (twist) no
4356.4-e 2 -1 no no