Properties

Base field \(\Q(\sqrt{-2}) \)
Level 7056.2
Norm 7056
New dimension 10

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Base field \(\Q(\sqrt{-2}) \)

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

Level 7056.2

Norm: 7056
Ideal: \((84) = \left(a\right)^{4} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(7\right) \)
Label: 7056.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 123
Dimension of new cuspidal subspace: 10

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
7056.2-a 2 +1 yes no
7056.2-b 2 -1 yes no
7056.2-c 2 +1 yes no
7056.2-d 2 +1 yes no
7056.2-e 2 -1 yes no
7056.2-f 2 +1 yes no