Properties

Base field \(\Q(\sqrt{-2}) \)
Level 29241.8
Norm 29241
New dimension 16

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

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

Level 29241.8

Norm: 29241
Ideal: \((171) = \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(-3 a + 1\right) \cdot \left(3 a + 1\right) \)
Label: 29241.8

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 107
Dimension of new cuspidal subspace: 16

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
29241.8-a 2 -1 yes no
29241.8-b 2 -1 yes no
29241.8-c 2 -1 no no
29241.8-d 2 -1 yes no
29241.8-e 2 -1 yes no
29241.8-f 2 -1 no no