Properties

Base field \(\Q(\sqrt{-11}) \)
Level 20736.4
Norm 20736
New dimension 6

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).

Level 20736.4

Norm: 20736
Ideal: \((-48 a - 96) = \left(2\right)^{4} \cdot \left(-a\right) \cdot \left(a - 1\right)^{3} \)
Label: 20736.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 227
Dimension of new cuspidal subspace: 6

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
20736.4-a 2 +1 no no
20736.4-b 2 -1 no no
20736.4-c 2 -1 no no
20736.4-d 2 -1 no no
20736.4-e 2 -1 no no
20736.4-f 2 -1 no no