Newform search results

Results (8 matches)

  Download displayed columns for results to

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				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
89.2.a.a	$89$	$2$	89.a	1.a	$1$	$1$	$1$	$0.711$	\(\Q\)	None	✓	✓	✓	✓	89.2.a.a	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}-4q^{7}+\cdots\)
89.2.a.b	$89$	$2$	89.a	1.a	$1$	$1$	$1$	$0.711$	\(\Q\)	None	✓	✓			89.2.a.b	$1$	$0$	\(1\)	\(2\)	\(-2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}-q^{4}-2q^{5}+2q^{6}+2q^{7}+\cdots\)
89.2.a.c	$89$	$2$	89.a	1.a	$1$	$5$	$5$	$0.711$	5.5.535120.1	None	✓	✓	✓		89.2.a.c	$1$	$0$	\(-1\)	\(-3\)	\(-1\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(3-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
89.2.b.a	$89$	$2$	89.b	89.b	$2$	$6$	$6$	$0.711$	6.0.7009280.1	None		✓	✓	✓	89.2.b.a	$2$	$0$	\(-2\)	\(0\)	\(-2\)	\(0\)		$5$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}-\beta _{3}q^{3}+(-\beta _{2}+\beta _{4})q^{4}+\cdots\)
89.2.c.a	$89$	$2$	89.c	89.c	$4$	$14$	$7$	$0.711$	\(\mathbb{Q}[x]/(x^{14} + \cdots)\)	None		✓	✓	✓	89.2.c.a	$2$	$0$	\(-2\)	\(-2\)	\(0\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}+\cdots)q^{4}+\cdots\)
89.2.e.a	$89$	$2$	89.e	89.e	$11$	$60$	$6$	$0.711$		None		✓	✓	✓	89.2.e.a	$2$	$0$	\(-7\)	\(-16\)	\(-1\)	\(-9\)			$\mathrm{SU}(2)[C_{11}]$
89.2.f.a	$89$	$2$	89.f	89.f	$22$	$60$	$6$	$0.711$		None		✓	✓	✓	89.2.f.a	$2$	$0$	\(-9\)	\(0\)	\(-9\)	\(-11\)			$\mathrm{SU}(2)[C_{22}]$
89.2.g.a	$89$	$2$	89.g	89.g	$44$	$140$	$7$	$0.711$		None		✓	✓	✓	89.2.g.a	$2$	$0$	\(-20\)	\(-20\)	\(-22\)	\(-20\)			$\mathrm{SU}(2)[C_{44}]$

  Download displayed columns for results to