Properties

Base field \(\Q(\sqrt{-2}) \)
Level 17424.5
Norm 17424
New dimension 22

Related objects

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

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

Level 17424.5

Norm: 17424
Ideal: \((132) = \left(a\right)^{4} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(a + 3\right) \cdot \left(a - 3\right) \)
Label: 17424.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 277
Dimension of new cuspidal subspace: 22

Newforms

This space contains the following newforms. Newforms of higher dimension are not yet in the database.

label weight dimension sign base change CM
17424.5-a 2 1 +1 yes no
17424.5-b 2 1 -1 yes no
17424.5-c 2 1 -1 yes no
17424.5-d 2 1 +1 yes no
17424.5-e 2 1 -1 yes no
17424.5-f 2 1 +1 yes no
17424.5-g 2 1 +1 no no
17424.5-h 2 1 +1 no no
17424.5-i 2 1 +1 no no
17424.5-j 2 1 +1 no no
17424.5-k 2 1 -1 yes no
17424.5-l 2 1 +1 yes no
17424.5-m 2 1 -1 no no
17424.5-n 2 1 -1 no no
17424.5-o 2 1 -1 yes no
17424.5-p 2 1 -1 yes no