Properties

Base field \(\Q(\sqrt{-691}) \)
Level 35.3
Norm 35
New dimension 1

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Base field \(\Q(\sqrt{-691}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 173\); class number \(5\).

Level 35.3

Norm: 35
Ideal: \((35) = \left(5, a + 3\right) \cdot \left(7, a + 1\right) \)
Label: 35.3

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
35.3-a 2 +1 no no