Newform search results

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

Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		19
361.6.a.b	$361$	$6$	361.a	1.a	$1$	$1$	$1$	$57.899$	\(\Q\)	None	✓				19.6.a.b	$1$	$0$	\(2\)	\(1\)	\(-24\)	\(-167\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}-28q^{4}-24q^{5}+2q^{6}+\cdots\)
361.6.a.c	$361$	$6$	361.a	1.a	$1$	$1$	$1$	$57.899$	\(\Q\)	None	✓				19.6.a.a	$1$	$0$	\(6\)	\(-4\)	\(54\)	\(248\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+6q^{2}-4q^{3}+4q^{4}+54q^{5}-24q^{6}+\cdots\)
361.6.a.d	$361$	$6$	361.a	1.a	$1$	$2$	$2$	$57.899$	\(\Q(\sqrt{177}) \)	None	✓				19.6.a.c	$1$	$0$	\(7\)	\(7\)	\(-133\)	\(72\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(4-\beta )q^{2}+(2+3\beta )q^{3}+(28-7\beta )q^{4}+\cdots\)
361.6.a.e	$361$	$6$	361.a	1.a	$1$	$4$	$4$	$57.899$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓				19.6.a.d	$1$	$0$	\(-9\)	\(-6\)	\(90\)	\(-190\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1}-\beta _{2})q^{2}+(-3-3\beta _{2}+\cdots)q^{3}+\cdots\)
361.6.a.h	$361$	$6$	361.a	1.a	$1$	$8$	$8$	$57.899$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓				19.6.c.a	$1$	$0$	\(3\)	\(28\)	\(-10\)	\(104\)		$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4+\beta _{2})q^{3}+(19+\beta _{3})q^{4}+\cdots\)
361.6.a.i	$361$	$6$	361.a	1.a	$1$	$16$	$16$	$57.899$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	✓			361.6.a.i	$1$	$0$	\(-7\)	\(-1\)	\(159\)	\(116\)		$-$	$-$	$2^{10}\cdot 19^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{6}q^{3}+(19+\beta _{2})q^{4}+(10+\cdots)q^{5}+\cdots\)
361.6.a.j	$361$	$6$	361.a	1.a	$1$	$16$	$16$	$57.899$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	✓			361.6.a.i	$1$	$0$	\(7\)	\(1\)	\(159\)	\(116\)		$-$	$-$	$2^{10}\cdot 19^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{6}q^{3}+(19+\beta _{2})q^{4}+(10+\cdots)q^{5}+\cdots\)
361.6.a.l	$361$	$6$	361.a	1.a	$1$	$21$	$21$	$57.899$		None	✓		✓		19.6.e.a	$1$	$0$	\(12\)	\(27\)	\(-33\)	\(180\)		$-$	$-$		$\mathrm{SU}(2)$