Newform search results

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

Results (6 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	23
3174.2.a.a	$3174$	$2$	3174.a	1.a	$1$	$1$	$1$	$25.345$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-2\)	\(-5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-5q^{7}+\cdots\)
3174.2.a.b	$3174$	$2$	3174.a	1.a	$1$	$1$	$1$	$25.345$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(2\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+2q^{7}+\cdots\)
3174.2.a.c	$3174$	$2$	3174.a	1.a	$1$	$1$	$1$	$25.345$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(2\)	\(5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+5q^{7}+\cdots\)
3174.2.a.i	$3174$	$2$	3174.a	1.a	$1$	$2$	$2$	$25.345$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-\beta q^{7}+\cdots\)
3174.2.a.t	$3174$	$2$	3174.a	1.a	$1$	$4$	$4$	$25.345$	\(\Q(\sqrt{3}, \sqrt{35})\)	None	✓	$2$	$0$	\(-4\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
3174.2.a.w	$3174$	$2$	3174.a	1.a	$1$	$5$	$5$	$25.345$	\(\Q(\zeta_{22})^+\)	None	✓	$1$	$0$	\(-5\)	\(-5\)	\(-1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(\beta _{2}-\beta _{3}-\beta _{4})q^{5}+\cdots\)