Newform search results

Results (16 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1205.2.a.a	$1205$	$2$	1205.a	1.a	$1$	$5$	$5$	$9.622$	5.5.38569.1	None	✓	$1$	$1$	\(-1\)	\(-5\)	\(5\)	\(-10\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{1}+\beta _{3}+\cdots)q^{3}+\cdots\)
1205.2.a.b	$1205$	$2$	1205.a	1.a	$1$	$11$	$11$	$9.622$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(-8\)	\(11\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}-\beta _{2})q^{2}+(-1-\beta _{2}-\beta _{3}+\cdots)q^{3}+\cdots\)
1205.2.a.c	$1205$	$2$	1205.a	1.a	$1$	$15$	$15$	$9.622$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(-7\)	\(-15\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{11}q^{3}+\beta _{2}q^{4}-q^{5}+(-\beta _{8}+\cdots)q^{6}+\cdots\)
1205.2.a.d	$1205$	$2$	1205.a	1.a	$1$	$25$	$25$	$9.622$		None	✓	$1$	$0$	\(-4\)	\(9\)	\(-25\)	\(7\)	$-$		$\mathrm{SU}(2)$
1205.2.a.e	$1205$	$2$	1205.a	1.a	$1$	$25$	$25$	$9.622$		None	✓	$1$	$0$	\(6\)	\(15\)	\(25\)	\(19\)	$-$		$\mathrm{SU}(2)$
1205.2.b.a	$1205$	$2$	1205.b	5.b	$2$	$4$	$4$	$9.622$	\(\Q(i, \sqrt{5})\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(2\beta _{1}+\beta _{3})q^{2}+(\beta _{1}-\beta _{3})q^{3}-3q^{4}+\cdots\)
1205.2.b.b	$1205$	$2$	1205.b	5.b	$2$	$4$	$4$	$9.622$	\(\Q(i, \sqrt{5})\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots\)
1205.2.b.c	$1205$	$2$	1205.b	5.b	$2$	$46$	$46$	$9.622$		None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1205.2.b.d	$1205$	$2$	1205.b	5.b	$2$	$66$	$66$	$9.622$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1205.2.d.a	$1205$	$2$	1205.d	241.b	$2$	$6$	$6$	$9.622$	6.0.36433296.1	None		$2$	$0$	\(-6\)	\(2\)	\(6\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+\beta _{2}q^{3}-q^{4}+q^{5}-\beta _{2}q^{6}+\cdots\)
1205.2.d.b	$1205$	$2$	1205.d	241.b	$2$	$34$	$34$	$9.622$		None		$2$	$0$	\(4\)	\(-4\)	\(34\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1205.2.d.c	$1205$	$2$	1205.d	241.b	$2$	$42$	$42$	$9.622$		None		$2$	$0$	\(0\)	\(-6\)	\(-42\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1205.4.a.a	$1205$	$4$	1205.a	1.a	$1$	$55$	$55$	$71.097$		None	✓	$1$	$1$	\(-13\)	\(-50\)	\(275\)	\(-138\)	$-$		$\mathrm{SU}(2)$
1205.4.a.b	$1205$	$4$	1205.a	1.a	$1$	$55$	$55$	$71.097$		None	✓	$1$	$1$	\(7\)	\(-22\)	\(-275\)	\(-44\)	$-$		$\mathrm{SU}(2)$
1205.4.a.c	$1205$	$4$	1205.a	1.a	$1$	$65$	$65$	$71.097$		None	✓	$1$	$0$	\(-5\)	\(26\)	\(-325\)	\(26\)	$+$		$\mathrm{SU}(2)$
1205.4.a.d	$1205$	$4$	1205.a	1.a	$1$	$65$	$65$	$71.097$		None	✓	$1$	$0$	\(15\)	\(46\)	\(325\)	\(184\)	$+$		$\mathrm{SU}(2)$