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Results (28 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
149.2.a.a	$149$	$2$	149.a	1.a	$1$	$3$	$3$	$1.190$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(-1\)	\(-4\)	\(-3\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-2+\beta _{1}-\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots\)
149.2.a.b	$149$	$2$	149.a	1.a	$1$	$9$	$9$	$1.190$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(6\)	\(-1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{8})q^{3}+(2-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
149.2.b.a	$149$	$2$	149.b	149.b	$2$	$12$	$12$	$1.190$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(-1+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
149.2.d.a	$149$	$2$	149.d	149.d	$37$	$396$	$11$	$1.190$		None		$2$	$0$	\(-32\)	\(-35\)	\(-27\)	\(-27\)			$\mathrm{SU}(2)[C_{37}]$
149.2.e.a	$149$	$2$	149.e	149.e	$74$	$432$	$12$	$1.190$		None		$2$	$0$	\(-37\)	\(-37\)	\(-41\)	\(-31\)			$\mathrm{SU}(2)[C_{74}]$
149.3.c.a	$149$	$3$	149.c	149.c	$4$	$48$	$24$	$4.060$		None		$2$	$0$	\(2\)	\(-2\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
149.3.f.a	$149$	$3$	149.f	149.f	$148$	$1728$	$24$	$4.060$		None		$2$	$0$	\(-76\)	\(-72\)	\(-62\)	\(-74\)			$\mathrm{SU}(2)[C_{148}]$
149.4.a.a	$149$	$4$	149.a	1.a	$1$	$15$	$15$	$8.791$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(-22\)	\(-16\)	\(-46\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{13})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots\)
149.4.a.b	$149$	$4$	149.a	1.a	$1$	$22$	$22$	$8.791$		None	✓	$1$	$0$	\(2\)	\(20\)	\(24\)	\(66\)	$+$		$\mathrm{SU}(2)$
149.4.b.a	$149$	$4$	149.b	149.b	$2$	$36$	$36$	$8.791$		None		$2$	$0$	\(0\)	\(0\)	\(-34\)	\(28\)			$\mathrm{SU}(2)[C_{2}]$
149.4.d.a	$149$	$4$	149.d	149.d	$37$	$1332$	$37$	$8.791$		None		$2$	$0$	\(-35\)	\(-35\)	\(-45\)	\(-57\)			$\mathrm{SU}(2)[C_{37}]$
149.4.e.a	$149$	$4$	149.e	149.e	$74$	$1296$	$36$	$8.791$		None		$2$	$0$	\(-37\)	\(-37\)	\(-3\)	\(-65\)			$\mathrm{SU}(2)[C_{74}]$
149.5.c.a	$149$	$5$	149.c	149.c	$4$	$98$	$49$	$15.402$		None		$2$	$0$	\(-8\)	\(-2\)	\(-52\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
149.5.f.a	$149$	$5$	149.f	149.f	$148$	$3528$	$49$	$15.402$		None		$2$	$0$	\(-66\)	\(-72\)	\(-22\)	\(-74\)			$\mathrm{SU}(2)[C_{148}]$
149.6.a.a	$149$	$6$	149.a	1.a	$1$	$27$	$27$	$23.897$		None	✓	$1$	$1$	\(-4\)	\(-64\)	\(-129\)	\(-345\)	$+$		$\mathrm{SU}(2)$
149.6.a.b	$149$	$6$	149.a	1.a	$1$	$34$	$34$	$23.897$		None	✓	$1$	$0$	\(8\)	\(62\)	\(71\)	\(439\)	$-$		$\mathrm{SU}(2)$
149.6.b.a	$149$	$6$	149.b	149.b	$2$	$62$	$62$	$23.897$		None		$2$	$0$	\(0\)	\(0\)	\(-28\)	\(-142\)			$\mathrm{SU}(2)[C_{2}]$
149.8.a.a	$149$	$8$	149.a	1.a	$1$	$40$	$40$	$46.545$		None	✓	$1$	$1$	\(-16\)	\(-190\)	\(-571\)	\(-3273\)	$-$		$\mathrm{SU}(2)$
149.8.a.b	$149$	$8$	149.a	1.a	$1$	$47$	$47$	$46.545$		None	✓	$1$	$0$	\(8\)	\(188\)	\(429\)	\(2215\)	$+$		$\mathrm{SU}(2)$
149.8.b.a	$149$	$8$	149.b	149.b	$2$	$86$	$86$	$46.545$		None		$2$	$0$	\(0\)	\(0\)	\(196\)	\(-270\)			$\mathrm{SU}(2)[C_{2}]$
149.10.a.a	$149$	$10$	149.a	1.a	$1$	$52$	$52$	$76.740$		None	✓	$1$	$1$	\(-16\)	\(-568\)	\(-1704\)	\(-18638\)	$+$		$\mathrm{SU}(2)$
149.10.a.b	$149$	$10$	149.a	1.a	$1$	$59$	$59$	$76.740$		None	✓	$1$	$0$	\(32\)	\(566\)	\(3296\)	\(19778\)	$-$		$\mathrm{SU}(2)$
149.12.a.a	$149$	$12$	149.a	1.a	$1$	$64$	$64$	$114.483$		None	✓	$1$	$1$	\(-64\)	\(-1954\)	\(-11521\)	\(-97477\)	$-$		$\mathrm{SU}(2)$
149.12.a.b	$149$	$12$	149.a	1.a	$1$	$71$	$71$	$114.483$		None	✓	$1$	$0$	\(32\)	\(1448\)	\(13479\)	\(171435\)	$+$		$\mathrm{SU}(2)$
149.14.a.a	$149$	$14$	149.a	1.a	$1$	$77$	$77$	$159.774$		None	✓	$1$	$1$	\(-64\)	\(-5104\)	\(-83379\)	\(-1142845\)	$+$		$\mathrm{SU}(2)$
149.14.a.b	$149$	$14$	149.a	1.a	$1$	$84$	$84$	$159.774$		None	✓	$1$	$0$	\(128\)	\(5102\)	\(41621\)	\(739539\)	$-$		$\mathrm{SU}(2)$
149.16.a.a	$149$	$16$	149.a	1.a	$1$	$89$	$89$	$212.613$		None	✓	$1$	$1$	\(-256\)	\(-11962\)	\(-316096\)	\(-7927854\)	$-$		$\mathrm{SU}(2)$
149.16.a.b	$149$	$16$	149.a	1.a	$1$	$96$	$96$	$212.613$		None	✓	$1$	$0$	\(128\)	\(18656\)	\(308904\)	\(5248834\)	$+$		$\mathrm{SU}(2)$