Properties

Base field \(\Q(\sqrt{-1}) \)
Level 9216.1
Norm 9216
New dimension 12

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Base field \(\Q(\sqrt{-1}) \)

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

Level 9216.1

Norm: 9216
Ideal: \((96) = \left(i + 1\right)^{10} \cdot \left(3\right) \)
Label: 9216.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 65
Dimension of new cuspidal subspace: 12

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
9216.1-a 2 -1 yes no
9216.1-b 2 -1 no no
9216.1-c 2 -1 yes (twist) no
9216.1-d 2 +1 yes (twist) no
9216.1-e 2 -1 no no
9216.1-f 2 -1 yes no
9216.1-g 2 +1 yes no
9216.1-h 2 +1 no no
9216.1-i 2 +1 yes (twist) no
9216.1-j 2 -1 yes (twist) no
9216.1-k 2 +1 no no
9216.1-l 2 +1 yes no