Properties

Base field \(\Q(\sqrt{-11}) \)
Level 243.2
Norm 243
New dimension 1

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

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

Level 243.2

Norm: 243
Ideal: \((6 a + 9) = \left(-a\right)^{4} \cdot \left(a - 1\right) \)
Label: 243.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 4
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
243.2-a 2 -1 no no