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Results (27 matches)

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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	23
8303.2.a.a	$8303$	$2$	8303.a	1.a	$1$	$1$	$1$	$66.300$	\(\Q\)	None	✓				437.2.a.b	$1$	$1$	\(-2\)	\(-2\)	\(1\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+2q^{4}+q^{5}+4q^{6}+\cdots\)
8303.2.a.b	$8303$	$2$	8303.a	1.a	$1$	$1$	$1$	$66.300$	\(\Q\)	None	✓				437.2.a.a	$1$	$1$	\(0\)	\(-2\)	\(-1\)	\(-5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{4}-q^{5}-5q^{7}+q^{9}-q^{11}+\cdots\)
8303.2.a.c	$8303$	$2$	8303.a	1.a	$1$	$2$	$2$	$66.300$	\(\Q(\sqrt{5}) \)	None	✓				437.2.a.e	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(-5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{2}+\beta q^{3}+3q^{4}-2\beta q^{5}+\cdots\)
8303.2.a.d	$8303$	$2$	8303.a	1.a	$1$	$2$	$2$	$66.300$	\(\Q(\sqrt{2}) \)	None	✓				437.2.a.d	$1$	$1$	\(0\)	\(4\)	\(-2\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2+\beta )q^{3}+(-1+\beta )q^{5}+(2+\cdots)q^{6}+\cdots\)
8303.2.a.e	$8303$	$2$	8303.a	1.a	$1$	$2$	$2$	$66.300$	\(\Q(\sqrt{5}) \)	None	✓				23.2.a.a	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
8303.2.a.f	$8303$	$2$	8303.a	1.a	$1$	$2$	$2$	$66.300$	\(\Q(\sqrt{5}) \)	None	✓				437.2.a.c	$1$	$0$	\(2\)	\(3\)	\(2\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(2-\beta )q^{3}-q^{4}+2\beta q^{5}+(2+\cdots)q^{6}+\cdots\)
8303.2.a.g	$8303$	$2$	8303.a	1.a	$1$	$5$	$5$	$66.300$	5.5.135076.1	None	✓				437.2.a.f	$1$	$0$	\(1\)	\(4\)	\(-1\)	\(-9\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{1}+\beta _{4})q^{4}+\cdots\)
8303.2.a.h	$8303$	$2$	8303.a	1.a	$1$	$6$	$6$	$66.300$	6.6.12530781.1	None	✓				437.2.e.a	$1$	$1$	\(-3\)	\(3\)	\(-9\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1-\beta _{1})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
8303.2.a.i	$8303$	$2$	8303.a	1.a	$1$	$6$	$6$	$66.300$	6.6.12530781.1	None	✓				437.2.e.a	$1$	$0$	\(3\)	\(-3\)	\(-9\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
8303.2.a.j	$8303$	$2$	8303.a	1.a	$1$	$8$	$8$	$66.300$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓				437.2.a.g	$1$	$1$	\(0\)	\(-5\)	\(2\)	\(9\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{5})q^{3}+(1+\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)
8303.2.a.k	$8303$	$2$	8303.a	1.a	$1$	$12$	$12$	$66.300$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓				437.2.a.h	$1$	$0$	\(-2\)	\(-7\)	\(-1\)	\(14\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{8})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
8303.2.a.l	$8303$	$2$	8303.a	1.a	$1$	$13$	$13$	$66.300$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓				437.2.e.b	$1$	$1$	\(0\)	\(-8\)	\(9\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{11})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
8303.2.a.m	$8303$	$2$	8303.a	1.a	$1$	$13$	$13$	$66.300$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓				437.2.e.b	$1$	$0$	\(0\)	\(8\)	\(9\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{11})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
8303.2.a.n	$8303$	$2$	8303.a	1.a	$1$	$14$	$14$	$66.300$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	✓			8303.2.a.n	$2$	$1$	\(0\)	\(0\)	\(-6\)	\(-10\)		$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}-\beta _{9}q^{5}+\cdots\)
8303.2.a.o	$8303$	$2$	8303.a	1.a	$1$	$19$	$19$	$66.300$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓				437.2.e.c	$1$	$1$	\(-1\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+\beta _{17}q^{5}+\cdots\)
8303.2.a.p	$8303$	$2$	8303.a	1.a	$1$	$19$	$19$	$66.300$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓				437.2.e.c	$1$	$0$	\(1\)	\(3\)	\(0\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+\beta _{17}q^{5}+\cdots\)
8303.2.a.q	$8303$	$2$	8303.a	1.a	$1$	$20$	$20$	$66.300$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	✓			8303.2.a.q	$2$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{11}q^{3}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+\cdots\)
8303.2.a.r	$8303$	$2$	8303.a	1.a	$1$	$26$	$26$	$66.300$		None	✓	✓			8303.2.a.r	$1$	$1$	\(-2\)	\(0\)	\(-6\)	\(-13\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
8303.2.a.s	$8303$	$2$	8303.a	1.a	$1$	$26$	$26$	$66.300$		None	✓	✓			8303.2.a.r	$1$	$1$	\(2\)	\(0\)	\(-6\)	\(-13\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
8303.2.a.t	$8303$	$2$	8303.a	1.a	$1$	$38$	$38$	$66.300$		None	✓	✓			8303.2.a.t	$1$	$0$	\(-2\)	\(0\)	\(10\)	\(17\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
8303.2.a.u	$8303$	$2$	8303.a	1.a	$1$	$38$	$38$	$66.300$		None	✓	✓			8303.2.a.t	$1$	$0$	\(2\)	\(0\)	\(10\)	\(17\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
8303.2.a.v	$8303$	$2$	8303.a	1.a	$1$	$54$	$54$	$66.300$		None	✓		✓		437.2.i.a	$1$	$1$	\(-9\)	\(-15\)	\(0\)	\(0\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
8303.2.a.w	$8303$	$2$	8303.a	1.a	$1$	$54$	$54$	$66.300$		None	✓				437.2.i.b	$1$	$1$	\(-3\)	\(-9\)	\(0\)	\(0\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
8303.2.a.x	$8303$	$2$	8303.a	1.a	$1$	$54$	$54$	$66.300$		None	✓		✓		437.2.i.b	$1$	$0$	\(3\)	\(9\)	\(0\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
8303.2.a.y	$8303$	$2$	8303.a	1.a	$1$	$54$	$54$	$66.300$		None	✓				437.2.i.a	$1$	$0$	\(9\)	\(15\)	\(0\)	\(0\)		$+$	$-$	$-$		$\mathrm{SU}(2)$
8303.2.a.z	$8303$	$2$	8303.a	1.a	$1$	$56$	$56$	$66.300$		None	✓	✓	✓		8303.2.a.z	$2$	$1$	\(0\)	\(0\)	\(-14\)	\(-30\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
8303.2.a.ba	$8303$	$2$	8303.a	1.a	$1$	$80$	$80$	$66.300$		None	✓	✓	✓		8303.2.a.ba	$2$	$0$	\(0\)	\(0\)	\(18\)	\(38\)		$+$	$-$	$-$		$\mathrm{SU}(2)$

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