Properties

Base field \(\Q(\sqrt{-3}) \)
Level 100048.3
Norm 100048
New dimension 2

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

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

Level 100048.3

Norm: 100048
Ideal: \((-156 a + 364) = \left(2\right)^{2} \cdot \left(a + 3\right) \cdot \left(a - 4\right) \cdot \left(-3 a + 7\right) \)
Label: 100048.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 34
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
100048.3-a 2 +1 no no
100048.3-b 2 -1 no no