Bianchi modular forms of level 10404.2 over \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Level: 10404.2
• Norm: 10404
• New dimension: 5

Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).

Level 10404.2

Norm:	10404
Ideal:	\((102) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right) \cdot \left(17\right) \)
Label:	10404.2

Modular form spaces

Weight	2
Dimension of cuspidal subspace:	47
Dimension of new cuspidal subspace:	5

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label	weight	sign	base change	CM
10404.2-a	2	-1	yes	no
10404.2-b	2	-1	yes	no
10404.2-c	2	-1	yes	no