Properties

Base field \(\Q(\sqrt{-11}) \)
Level 165.2
Norm 165
New dimension 3

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

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

Level 165.2

Norm: 165
Ideal: \((7 a - 9) = \left(-a\right) \cdot \left(a - 2\right) \cdot \left(-2 a + 1\right) \)
Label: 165.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 7
Dimension of new cuspidal subspace: 3

Newforms

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

label weight sign base change CM
165.2-a 2 +1 no no