Properties

Base field \(\Q(\sqrt{-7}) \)
Level 4356.5
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 4356.5

Norm: 4356
Ideal: \((66) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 1\right) \)
Label: 4356.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 49
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
4356.5-a 2 +1 yes no
4356.5-b 2 +1 no no
4356.5-c 2 +1 no no
4356.5-d 2 +1 yes no
4356.5-e 2 +1 yes no