Properties

Base field \(\Q(\sqrt{-1}) \)
Level 340.4
Norm 340
New dimension 1

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

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

Level 340.4

Norm: 340
Ideal: \((-12 i + 14) = \left(i + 1\right)^{2} \cdot \left(2 i + 1\right) \cdot \left(i - 4\right) \)
Label: 340.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 1
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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