Properties

Base field \(\Q(\sqrt{-2}) \)
Level 27225.2
Norm 27225
New dimension 8

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

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

Level 27225.2

Norm: 27225
Ideal: \((110 a - 55) = \left(-a - 1\right)^{2} \cdot \left(5\right) \cdot \left(a + 3\right) \cdot \left(a - 3\right) \)
Label: 27225.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 53
Dimension of new cuspidal subspace: 8

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
27225.2-a 2 +1 yes (twist) no
27225.2-b 2 +1 yes (twist) no
27225.2-c 2 +1 yes (twist) no