Bianchi modular forms of level 90.2 over \(\Q(\sqrt{-5}) \)

• Base field: \(\Q(\sqrt{-5}) \)
• Level: 90.2
• Norm: 90
• New dimension: 2

Base field \(\Q(\sqrt{-5}) \)

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

Level 90.2

Norm:	90
Ideal:	\((30) = \left(2, a + 1\right) \cdot \left(3, a + 1\right) \cdot \left(3, a + 2\right) \cdot \left(-a\right) \)
Label:	90.2

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
90.2-a	2	-1	yes	no
90.2-b	2	+1	yes	no