Properties

Base field \(\Q(\sqrt{-3}) \)
Level 100009.3
Norm 100009
New dimension 1

Related objects

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

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

Level 100009.3

Norm: 100009
Ideal: \((-365 a + 173) = \left(-3 a + 1\right)^{2} \cdot \left(4 a - 3\right) \cdot \left(-13 a + 1\right) \)
Label: 100009.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 8
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform.

label weight dimension sign base change CM
100009.3-a 2 1 +1 no no