Bianchi modular forms of level 126.6 over Q(−17)\Q(\sqrt{-17})

• Base field: $\Q(\sqrt{-17})$
• Level: 126.6
• Norm: 126
• New dimension: 2

Base field $\Q(\sqrt{-17})$

Generator $a$, with minimal polynomial $x^{2} + 17$; class number $4$.

Level 126.6

Norm:	126
Ideal:	$(126) = \left(2, a + 1\right) \cdot \left(3, a + 2\right)^{2} \cdot \left(7, a + 5\right)$
Label:	126.6

Modular form spaces

Weight	2
Dimension of cuspidal subspace:	34
Dimension of new cuspidal subspace:	2

Newforms

This space contains the following newforms of dimension 1.

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