Properties

Base field \(\Q(\sqrt{-7}) \)
Level 1152.7
Norm 1152
New dimension 2

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Base field \(\Q(\sqrt{-7}) \)

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

Level 1152.7

Norm: 1152
Ideal: \((6 a + 30) = \left(a\right) \cdot \left(-a + 1\right)^{6} \cdot \left(3\right) \)
Label: 1152.7

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 14
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1152.7-a 2 +1 yes (twist) no
1152.7-b 2 +1 no no