Properties

Base field \(\Q(\sqrt{-2}) \)
Level 46818.4
Norm 46818
New dimension 21

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

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

Level 46818.4

Norm: 46818
Ideal: \((-141 a + 84) = \left(a\right) \cdot \left(-a - 1\right)^{3} \cdot \left(a - 1\right) \cdot \left(-2 a + 3\right)^{2} \)
Label: 46818.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 185
Dimension of new cuspidal subspace: 21

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
46818.4-a 2 +1 no no
46818.4-b 2 -1 no no
46818.4-c 2 -1 no no
46818.4-d 2 -1 no no
46818.4-e 2 -1 no no
46818.4-f 2 -1 no no
46818.4-g 2 -1 no no
46818.4-h 2 +1 no no
46818.4-i 2 -1 no no
46818.4-j 2 +1 no no
46818.4-k 2 +1 no no