Bianchi modular forms of level 198.1 over Q(−2)\Q(\sqrt{-2})

• Base field: $\Q(\sqrt{-2})$
• Level: 198.1
• Norm: 198
• New dimension: 1

Base field $\Q(\sqrt{-2})$

Generator $a$, with minimal polynomial $x^{2} + 2$; class number $1$.

Level 198.1

Norm:	198
Ideal:	$(7 a + 10) = \left(a\right) \cdot \left(-a - 1\right)^{2} \cdot \left(a + 3\right)$
Label:	198.1

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
198.1-a	2	-1	no	no