Properties

Base field \(\Q(\sqrt{-2}) \)
Level 27225.5
Norm 27225
New dimension 19

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Base field \(\Q(\sqrt{-2}) \)

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

Level 27225.5

Norm: 27225
Ideal: \((165) = \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(5\right) \cdot \left(a + 3\right) \cdot \left(a - 3\right) \)
Label: 27225.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 85
Dimension of new cuspidal subspace: 19

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
27225.5-a 2 -1 no no
27225.5-b 2 -1 no no
27225.5-c 2 -1 no no
27225.5-d 2 -1 no no