Properties

Base field \(\Q(\sqrt{-1}) \)
Level 1040.1
Norm 1040
New dimension 2

Related objects

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Base field \(\Q(\sqrt{-1}) \)

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

Level 1040.1

Norm: 1040
Ideal: \((4 i - 32) = \left(i + 1\right)^{4} \cdot \left(-i - 2\right) \cdot \left(-3 i - 2\right) \)
Label: 1040.1

Modular form spaces

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

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
1040.1-a 2 1 +1 no no
1040.1-b 2 1 -1 no no