Properties

Base field \(\Q(\sqrt{-3}) \)
Level 100156.3
Norm 100156
New dimension 6

Related objects

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

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

Level 100156.3

Norm: 100156
Ideal: \((-364 a + 154) = \left(2\right) \cdot \left(-3 a + 1\right)^{2} \cdot \left(3 a - 2\right) \cdot \left(-9 a + 1\right) \)
Label: 100156.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 32
Dimension of new cuspidal subspace: 6

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
100156.3-a 2 1 +1 no no
100156.3-b 2 1 +1 no no
100156.3-c 2 1 -1 no no
100156.3-d 2 1 +1 no no
100156.3-e 2 1 -1 no no
100156.3-f 2 1 -1 no no