Bianchi modular forms of level 100.2 over \(\Q(\sqrt{-15}) \)

• Base field: \(\Q(\sqrt{-15}) \)
• Level: 100.2
• Norm: 100
• New dimension: 2

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

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

Level 100.2

Norm:	100
Ideal:	\((10) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(5, a + 2\right)^{2} \)
Label:	100.2

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

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