Properties

Base field \(\Q(\sqrt{-3}) \)
Level 100009.9
Norm 100009
New dimension 9

Related objects

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

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

Level 100009.9

Norm: 100009
Ideal: \((360 a - 233) = \left(3 a - 2\right)^{2} \cdot \left(-4 a + 1\right) \cdot \left(-13 a + 1\right) \)
Label: 100009.9

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 19
Dimension of new cuspidal subspace: 9

Newforms

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

label weight dimension sign base change CM
100009.9-a 2 1 -1 no no
100009.9-b 2 1 -1 no no
100009.9-c 2 1 -1 no no
100009.9-d 2 1 +1 no no