Properties

Base field \(\Q(\sqrt{-7}) \)
Level 11664.5
Norm 11664
New dimension 8

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

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

Level 11664.5

Norm: 11664
Ideal: \((81 a - 27) = \left(-a + 1\right)^{4} \cdot \left(3\right)^{3} \)
Label: 11664.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 47
Dimension of new cuspidal subspace: 8

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
11664.5-a 2 +1 no no
11664.5-b 2 -1 yes (twist) no
11664.5-c 2 -1 yes (twist) no
11664.5-d 2 +1 no no
11664.5-e 2 -1 yes (twist) no
11664.5-f 2 +1 no no
11664.5-g 2 +1 no no
11664.5-h 2 -1 yes (twist) no