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Results (29 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
307.1.b.a	$307$	$1$	307.b	307.b	$2$	$1$	$1$	$0.153$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-307}) \)	None	✓	✓	307.1.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{4}-q^{7}+q^{9}-q^{11}+q^{16}-q^{17}+\cdots\)
307.2.a.a	$307$	$2$	307.a	1.a	$1$	$1$	$1$	$2.451$	\(\Q\)	$_{}$	None	None	✓	✓	307.2.a.a	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+4q^{5}-3q^{9}+3q^{11}+6q^{13}+\cdots\)
307.2.a.b	$307$	$2$	307.a	1.a	$1$	$1$	$1$	$2.451$	\(\Q\)	$_{}$	None	None	✓	✓	307.2.a.b	$1$	$0$	\(1\)	\(2\)	\(0\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}-q^{4}+2q^{6}+3q^{7}-3q^{8}+\cdots\)
307.2.a.c	$307$	$2$	307.a	1.a	$1$	$1$	$1$	$2.451$	\(\Q\)	$_{}$	None	None	✓	✓	307.2.a.c	$1$	$0$	\(2\)	\(0\)	\(2\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+2q^{5}+3q^{7}-3q^{9}+\cdots\)
307.2.a.d	$307$	$2$	307.a	1.a	$1$	$1$	$1$	$2.451$	\(\Q\)	$_{}$	None	None	✓	✓	307.2.a.d	$1$	$0$	\(2\)	\(2\)	\(0\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{3}+2q^{4}+4q^{6}-3q^{7}+\cdots\)
307.2.a.e	$307$	$2$	307.a	1.a	$1$	$2$	$2$	$2.451$	\(\Q(\sqrt{13}) \)	$_{}$	None	None	✓	✓	307.2.a.e	$1$	$0$	\(-1\)	\(-3\)	\(6\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2+\beta )q^{3}+(1+\beta )q^{4}+3q^{5}+\cdots\)
307.2.a.f	$307$	$2$	307.a	1.a	$1$	$9$	$9$	$2.451$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	✓	307.2.a.f	$1$	$0$	\(3\)	\(1\)	\(5\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{5}q^{2}-\beta _{2}q^{3}+(1+\beta _{5}-\beta _{7}+\beta _{8})q^{4}+\cdots\)
307.2.a.g	$307$	$2$	307.a	1.a	$1$	$10$	$10$	$2.451$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	✓	307.2.a.g	$1$	$1$	\(-7\)	\(-4\)	\(-15\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+\beta _{8}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
307.2.c.a	$307$	$2$	307.c	307.c	$3$	$2$	$1$	$2.451$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓	307.2.c.a	$2$	$0$	\(-2\)	\(0\)	\(1\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-q^{2}-q^{4}+(1-\zeta_{6})q^{5}+3\zeta_{6}q^{7}+\cdots\)
307.2.c.b	$307$	$2$	307.c	307.c	$3$	$46$	$23$	$2.451$		$_{}$	None	None		✓	307.2.c.b	$2$	$0$	\(-4\)	\(-6\)	\(0\)	\(2\)			$\mathrm{SU}(2)[C_{3}]$
307.2.e.a	$307$	$2$	307.e	307.e	$9$	$150$	$25$	$2.451$		$_{}$	None	None		✓	307.2.e.a	$2$	$0$	\(0\)	\(-18\)	\(-6\)	\(-6\)			$\mathrm{SU}(2)[C_{9}]$
307.2.f.a	$307$	$2$	307.f	307.f	$17$	$384$	$24$	$2.451$		$_{}$	None	None		✓	307.2.f.a	$2$	$0$	\(-14\)	\(-11\)	\(-13\)	\(-60\)			$\mathrm{SU}(2)[C_{17}]$
307.2.i.a	$307$	$2$	307.i	307.i	$51$	$768$	$24$	$2.451$		$_{}$	None	None		✓	307.2.i.a	$2$	$0$	\(-28\)	\(-28\)	\(-35\)	\(12\)			$\mathrm{SU}(2)[C_{51}]$
307.2.k.a	$307$	$2$	307.k	307.k	$153$	$2400$	$25$	$2.451$		$_{}$	None	None		✓	307.2.k.a	$2$	$0$	\(-102\)	\(-84\)	\(-96\)	\(-96\)			$\mathrm{SU}(2)[C_{153}]$
307.3.b.a	$307$	$3$	307.b	307.b	$2$	$3$	$3$	$8.365$	3.3.8289.1	$_{}$	\(\Q(\sqrt{-307}) \)	None	✓	✓	307.3.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(\beta _{1}+2\beta _{2})q^{7}+9q^{9}+(-2\beta _{1}+\cdots)q^{11}+\cdots\)
307.3.b.b	$307$	$3$	307.b	307.b	$2$	$48$	$48$	$8.365$		$_{}$	None	None		✓	307.3.b.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{2}]$
307.3.d.a	$307$	$3$	307.d	307.d	$6$	$102$	$51$	$8.365$		$_{}$	None	None		✓	307.3.d.a	$2$	$0$	\(0\)	\(0\)	\(-3\)	\(9\)			$\mathrm{SU}(2)[C_{6}]$
307.3.g.a	$307$	$3$	307.g	307.g	$18$	$300$	$50$	$8.365$		$_{}$	None	None		✓	307.3.g.a	$2$	$0$	\(-9\)	\(0\)	\(-6\)	\(-6\)			$\mathrm{SU}(2)[C_{18}]$
307.3.h.a	$307$	$3$	307.h	307.h	$34$	$816$	$51$	$8.365$		$_{}$	None	None		✓	307.3.h.a	$2$	$0$	\(-17\)	\(-17\)	\(-17\)	\(-90\)			$\mathrm{SU}(2)[C_{34}]$
307.3.j.a	$307$	$3$	307.j	307.j	$102$	$1632$	$51$	$8.365$		$_{}$	None	None		✓	307.3.j.a	$2$	$0$	\(-34\)	\(-34\)	\(-31\)	\(42\)			$\mathrm{SU}(2)[C_{102}]$
307.3.l.a	$307$	$3$	307.l	307.l	$306$	$4800$	$50$	$8.365$		$_{}$	None	None		✓	307.3.l.a	$2$	$0$	\(-93\)	\(-102\)	\(-96\)	\(-96\)			$\mathrm{SU}(2)[C_{306}]$
307.4.a.a	$307$	$4$	307.a	1.a	$1$	$35$	$35$	$18.114$		$_{}$	None	None	✓	✓	307.4.a.a	$1$	$1$	\(-17\)	\(-17\)	\(-91\)	\(-60\)	$-$		$\mathrm{SU}(2)$
307.4.a.b	$307$	$4$	307.a	1.a	$1$	$41$	$41$	$18.114$		$_{}$	None	None	✓	✓	307.4.a.b	$1$	$0$	\(17\)	\(13\)	\(99\)	\(38\)	$+$		$\mathrm{SU}(2)$
307.6.a.a	$307$	$6$	307.a	1.a	$1$	$61$	$61$	$49.238$		$_{}$	None	None	✓	✓	307.6.a.a	$1$	$1$	\(-37\)	\(-44\)	\(-501\)	\(-391\)	$+$		$\mathrm{SU}(2)$
307.6.a.b	$307$	$6$	307.a	1.a	$1$	$67$	$67$	$49.238$		$_{}$	None	None	✓	✓	307.6.a.b	$1$	$0$	\(31\)	\(46\)	\(449\)	\(295\)	$-$		$\mathrm{SU}(2)$
307.8.a.a	$307$	$8$	307.a	1.a	$1$	$86$	$86$	$95.902$		$_{}$	None	None	✓	✓	307.8.a.a	$1$	$1$	\(-65\)	\(-122\)	\(-2251\)	\(-1873\)	$-$		$\mathrm{SU}(2)$
307.8.a.b	$307$	$8$	307.a	1.a	$1$	$92$	$92$	$95.902$		$_{}$	None	None	✓	✓	307.8.a.b	$1$	$0$	\(71\)	\(148\)	\(2499\)	\(2929\)	$+$		$\mathrm{SU}(2)$
307.10.a.a	$307$	$10$	307.a	1.a	$1$	$112$	$112$	$158.116$		$_{}$	None	None	✓	✓	307.10.a.a	$1$	$1$	\(-145\)	\(-479\)	\(-12501\)	\(-17378\)	$+$		$\mathrm{SU}(2)$
307.10.a.b	$307$	$10$	307.a	1.a	$1$	$118$	$118$	$158.116$		$_{}$	None	None	✓	✓	307.10.a.b	$1$	$0$	\(127\)	\(331\)	\(11249\)	\(16236\)	$-$		$\mathrm{SU}(2)$