Properties

Base field \(\Q(\sqrt{-7}) \)
Level 1024.6
Norm 1024
New dimension 3

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

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

Level 1024.6

Norm: 1024
Ideal: \((32) = \left(a\right)^{5} \cdot \left(-a + 1\right)^{5} \)
Label: 1024.6

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 25
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1024.6-a 2 -1 yes $-4$
1024.6-b 2 +1 yes (twist) no
1024.6-c 2 +1 yes (twist) no