Properties

Base field \(\Q(\sqrt{-3}) \)
Level 30000.1
Norm 30000
New dimension 8

Related objects

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Base field \(\Q(\sqrt{-3}) \)

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

Level 30000.1

Norm: 30000
Ideal: \((-200 a + 100) = \left(2\right)^{2} \cdot \left(-2 a + 1\right) \cdot \left(5\right)^{2} \)
Label: 30000.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 47
Dimension of new cuspidal subspace: 8

Newforms

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

label weight dimension sign base change CM
30000.1-a 2 1 -1 yes no
30000.1-b 2 1 -1 yes no
30000.1-c 2 1 +1 yes no
30000.1-d 2 1 +1 yes no