Properties

Base field \(\Q(\sqrt{-2}) \)
Level 44217.6
Norm 44217
New dimension 7

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

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

Level 44217.6

Norm: 44217
Ideal: \((-102 a + 153) = \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(-2 a + 3\right)^{2} \cdot \left(2 a + 3\right) \)
Label: 44217.6

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 65
Dimension of new cuspidal subspace: 7

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
44217.6-a 2 +1 no no
44217.6-b 2 +1 no no
44217.6-c 2 -1 yes (twist) no
44217.6-d 2 +1 no no
44217.6-e 2 -1 no no