Properties

Base field \(\Q(\sqrt{-11}) \)
Level 9216.2
Norm 9216
New dimension 28

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

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

Level 9216.2

Norm: 9216
Ideal: \((96) = \left(2\right)^{5} \cdot \left(-a\right) \cdot \left(a - 1\right) \)
Label: 9216.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 115
Dimension of new cuspidal subspace: 28

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
9216.2-a 2 -1 no no
9216.2-b 2 -1 no no
9216.2-c 2 +1 yes no
9216.2-d 2 -1 no no
9216.2-e 2 +1 no no
9216.2-f 2 +1 no no
9216.2-g 2 +1 no no
9216.2-h 2 +1 yes (twist) no
9216.2-i 2 +1 no no
9216.2-j 2 +1 no no
9216.2-k 2 +1 no no
9216.2-l 2 +1 no no
9216.2-m 2 +1 no no
9216.2-n 2 -1 no no
9216.2-o 2 +1 yes (twist) no
9216.2-p 2 +1 no no
9216.2-q 2 +1 no no
9216.2-r 2 -1 no no
9216.2-s 2 -1 no no
9216.2-t 2 +1 yes no