Properties

Base field \(\Q(\sqrt{-11}) \)
Level 10044.5
Norm 10044
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 10044.5

Norm: 10044
Ideal: \((-54 a + 72) = \left(2\right) \cdot \left(-a\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(-3 a + 4\right) \)
Label: 10044.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 75
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
10044.5-a 2 -1 no no