Properties

Base field \(\Q(\sqrt{-11}) \)
Level 539.1
Norm 539
New dimension 5

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

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

Level 539.1

Norm: 539
Ideal: \((-14 a + 7) = \left(7\right) \cdot \left(-2 a + 1\right) \)
Label: 539.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 7
Dimension of new cuspidal subspace: 5

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