Properties

Base field \(\Q(\sqrt{-2}) \)
Level 2304.2
Norm 2304
New dimension 8

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

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

Level 2304.2

Norm: 2304
Ideal: \((48) = \left(a\right)^{8} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \)
Label: 2304.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 81
Dimension of new cuspidal subspace: 8

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
2304.2-a 2 -1 yes no
2304.2-b 2 +1 yes no
2304.2-c 2 -1 yes (twist) no
2304.2-d 2 +1 yes (twist) no
2304.2-e 2 -1 yes (twist) no
2304.2-f 2 +1 yes (twist) no
2304.2-g 2 -1 yes no
2304.2-h 2 +1 yes no