Properties

Base field \(\Q(\sqrt{-2}) \)
Level 11664.4
Norm 11664
New dimension 18

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

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

Level 11664.4

Norm: 11664
Ideal: \((108) = \left(a\right)^{4} \cdot \left(-a - 1\right)^{3} \cdot \left(a - 1\right)^{3} \)
Label: 11664.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 243
Dimension of new cuspidal subspace: 18

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
11664.4-a 2 -1 no no
11664.4-b 2 -1 yes (twist) no
11664.4-c 2 +1 yes no
11664.4-d 2 +1 yes no
11664.4-e 2 -1 yes no
11664.4-f 2 +1 yes (twist) no
11664.4-g 2 +1 yes (twist) no
11664.4-h 2 -1 no no
11664.4-i 2 -1 yes $-3$
11664.4-j 2 -1 yes $-3$
11664.4-k 2 +1 no no
11664.4-l 2 +1 yes (twist) no
11664.4-m 2 +1 yes (twist) no
11664.4-n 2 -1 yes no
11664.4-o 2 +1 yes no
11664.4-p 2 +1 yes no
11664.4-q 2 -1 yes (twist) no
11664.4-r 2 +1 no no