Properties

Base field \(\Q(\sqrt{-30}) \)
Level 294.1
Norm 294
New dimension 4

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Base field \(\Q(\sqrt{-30}) \)

Generator \(a\), with minimal polynomial \(x^2 + 30\); class number \(4\).

Level 294.1

Norm: 294
Ideal: \((42) = \left(2, a\right) \cdot \left(3, a\right) \cdot \left(7\right) \)
Label: 294.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 116
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
294.1-a 2 +1 yes no
294.1-b 2 -1 yes no
294.1-c 2 -1 yes no
294.1-d 2 +1 yes no