Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Level	Weight	Analytic conductor	\(Nk^2\)	Dim.
Bad \(p\)	Char.	Primitive character	Character order	Coefficient field
Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank
Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
		Only for weight 1:

Sort order

Select

Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7	11
3234.2.a.i	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.m	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3234.2.a.n	$3234$	$2$	3234.a	1.a	$1$	$1$	$1$	$25.824$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
3234.2.a.ba	$3234$	$2$	3234.a	1.a	$1$	$2$	$2$	$25.824$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)