Properties

Base field \(\Q(\sqrt{-11}) \)
Level 1089.2
Norm 1089
New dimension 9

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

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

Level 1089.2

Norm: 1089
Ideal: \((33) = \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-2 a + 1\right)^{2} \)
Label: 1089.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 23
Dimension of new cuspidal subspace: 9

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
1089.2-a 2 +1 yes no
1089.2-b 2 +1 yes no
1089.2-c 2 +1 yes no