Properties

Base field \(\Q(\sqrt{-15}) \)
Level 75.1
Norm 75
New dimension 2

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Base field \(\Q(\sqrt{-15}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 4\); class number \(2\).

Level 75.1

Norm: 75
Ideal: \((15) = \left(3, a + 1\right) \cdot \left(5, a + 2\right)^{2} \)
Label: 75.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 6
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
75.1-a 2 -1 yes no
75.1-b 2 +1 yes no