Properties

Base field \(\Q(\sqrt{-3}) \)
Level 61731.3
Norm 61731
New dimension 8

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

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

Level 61731.3

Norm: 61731
Ideal: \((114 a + 171) = \left(a + 1\right)^{2} \cdot \left(-2 a + 5\right) \cdot \left(2 a + 3\right)^{2} \)
Label: 61731.3

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
61731.3-a 2 -1 yes (twist) no
61731.3-b 2 +1 yes (twist) no
61731.3-c 2 +1 no no
61731.3-d 2 +1 yes (twist) no
61731.3-e 2 +1 no no
61731.3-f 2 +1 yes (twist) no
61731.3-g 2 -1 no no
61731.3-h 2 +1 no no