Properties

Base field \(\Q(\sqrt{-14}) \)
Level 288.2
Norm 288
New dimension 16

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Base field \(\Q(\sqrt{-14}) \)

Generator \(a\), with minimal polynomial \(x^2 + 14\); class number \(4\).

Level 288.2

Norm: 288
Ideal: \((24) = \left(2, a\right)^{5} \cdot \left(3, a + 1\right) \cdot \left(3, a + 2\right) \)
Label: 288.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 86
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
288.2-a 2 -1 yes no
288.2-b 2 +1 yes no
288.2-c 2 +1 yes no
288.2-d 2 -1 yes no