Properties

Base field \(\Q(\sqrt{-2}) \)
Level 6912.3
Norm 6912
New dimension 14

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

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

Level 6912.3

Norm: 6912
Ideal: \((48 a - 48) = \left(a\right)^{8} \cdot \left(-a - 1\right) \cdot \left(a - 1\right)^{2} \)
Label: 6912.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 208
Dimension of new cuspidal subspace: 14

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
6912.3-a 2 -1 yes (twist) no
6912.3-b 2 +1 yes (twist) no
6912.3-c 2 +1 no no
6912.3-d 2 +1 no no
6912.3-e 2 +1 yes (twist) no
6912.3-f 2 -1 no no
6912.3-g 2 +1 yes (twist) no
6912.3-h 2 -1 yes (twist) no
6912.3-i 2 -1 no no
6912.3-j 2 -1 yes (twist) no
6912.3-k 2 +1 no no
6912.3-l 2 +1 no no
6912.3-m 2 -1 yes (twist) no
6912.3-n 2 +1 yes (twist) no