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Results (1-50 of 10293 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1001.4.a.a	$1001$	$4$	1001.a	1.a	$1$	$18$	$18$	$59.061$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(-12\)	\(-34\)	\(126\)	$-$	$2^{9}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
1001.4.a.b	$1001$	$4$	1001.a	1.a	$1$	$18$	$18$	$59.061$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(-126\)	$-$	$2^{9}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(2+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1001.4.a.c	$1001$	$4$	1001.a	1.a	$1$	$22$	$22$	$59.061$		None	✓	$1$	$1$	\(-4\)	\(-2\)	\(16\)	\(-154\)	$-$		$\mathrm{SU}(2)$
1001.4.a.d	$1001$	$4$	1001.a	1.a	$1$	$22$	$22$	$59.061$		None	✓	$1$	$1$	\(0\)	\(-14\)	\(0\)	\(154\)	$-$		$\mathrm{SU}(2)$
1001.4.a.e	$1001$	$4$	1001.a	1.a	$1$	$25$	$25$	$59.061$		None	✓	$1$	$0$	\(0\)	\(-8\)	\(-42\)	\(-175\)	$+$		$\mathrm{SU}(2)$
1001.4.a.f	$1001$	$4$	1001.a	1.a	$1$	$25$	$25$	$59.061$		None	✓	$1$	$0$	\(0\)	\(18\)	\(48\)	\(175\)	$+$		$\mathrm{SU}(2)$
1001.4.a.g	$1001$	$4$	1001.a	1.a	$1$	$25$	$25$	$59.061$		None	✓	$1$	$0$	\(4\)	\(4\)	\(-2\)	\(175\)	$+$		$\mathrm{SU}(2)$
1001.4.a.h	$1001$	$4$	1001.a	1.a	$1$	$25$	$25$	$59.061$		None	✓	$1$	$0$	\(4\)	\(6\)	\(44\)	\(-175\)	$+$		$\mathrm{SU}(2)$
1002.4.a.a	$1002$	$4$	1002.a	1.a	$1$	$7$	$7$	$59.120$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(14\)	\(21\)	\(-28\)	\(-59\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(-4+\beta _{4}-\beta _{6})q^{5}+\cdots\)
1002.4.a.b	$1002$	$4$	1002.a	1.a	$1$	$8$	$8$	$59.120$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-16\)	\(-24\)	\(2\)	\(19\)	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+\beta _{3}q^{5}+6q^{6}+\cdots\)
1002.4.a.c	$1002$	$4$	1002.a	1.a	$1$	$9$	$9$	$59.120$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-18\)	\(27\)	\(2\)	\(-53\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}-\beta _{5}q^{5}-6q^{6}+\cdots\)
1002.4.a.d	$1002$	$4$	1002.a	1.a	$1$	$10$	$10$	$59.120$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(20\)	\(-30\)	\(-22\)	\(-17\)	$-$	$5$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-2+\beta _{5})q^{5}+\cdots\)
1002.4.a.e	$1002$	$4$	1002.a	1.a	$1$	$11$	$11$	$59.120$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-22\)	\(-33\)	\(-18\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-2+\beta _{1})q^{5}+\cdots\)
1002.4.a.f	$1002$	$4$	1002.a	1.a	$1$	$11$	$11$	$59.120$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(22\)	\(-33\)	\(18\)	\(25\)	$+$	$2^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(2-\beta _{1})q^{5}+\cdots\)
1002.4.a.g	$1002$	$4$	1002.a	1.a	$1$	$12$	$12$	$59.120$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-24\)	\(36\)	\(-8\)	\(45\)	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-1+\beta _{1})q^{5}+\cdots\)
1002.4.a.h	$1002$	$4$	1002.a	1.a	$1$	$14$	$14$	$59.120$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(28\)	\(42\)	\(42\)	\(67\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)
1003.4.a.a	$1003$	$4$	1003.a	1.a	$1$	$3$	$3$	$59.179$	3.3.75845.1	None	✓	$1$	$1$	\(-3\)	\(-5\)	\(17\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-2-\beta _{2})q^{3}-7q^{4}+(6+\beta _{2})q^{5}+\cdots\)
1003.4.a.b	$1003$	$4$	1003.a	1.a	$1$	$52$	$52$	$59.179$		None	✓	$1$	$1$	\(-8\)	\(-19\)	\(-95\)	\(-50\)	$-$		$\mathrm{SU}(2)$
1003.4.a.c	$1003$	$4$	1003.a	1.a	$1$	$57$	$57$	$59.179$		None	✓	$1$	$1$	\(-11\)	\(-18\)	\(-132\)	\(-52\)	$-$		$\mathrm{SU}(2)$
1003.4.a.d	$1003$	$4$	1003.a	1.a	$1$	$59$	$59$	$59.179$		None	✓	$1$	$0$	\(13\)	\(12\)	\(102\)	\(-24\)	$+$		$\mathrm{SU}(2)$
1003.4.a.e	$1003$	$4$	1003.a	1.a	$1$	$61$	$61$	$59.179$		None	✓	$1$	$0$	\(13\)	\(30\)	\(128\)	\(116\)	$+$		$\mathrm{SU}(2)$
1004.4.a.a	$1004$	$4$	1004.a	1.a	$1$	$28$	$28$	$59.238$		None	✓	$1$	$1$	\(0\)	\(-6\)	\(0\)	\(-57\)	$-$		$\mathrm{SU}(2)$
1004.4.a.b	$1004$	$4$	1004.a	1.a	$1$	$35$	$35$	$59.238$		None	✓	$1$	$0$	\(0\)	\(12\)	\(0\)	\(41\)	$+$		$\mathrm{SU}(2)$
1005.4.a.a	$1005$	$4$	1005.a	1.a	$1$	$2$	$2$	$59.297$	\(\Q(\sqrt{19}) \)	None	✓	$1$	$1$	\(6\)	\(6\)	\(10\)	\(-12\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+3q^{3}+q^{4}+5q^{5}+9q^{6}+\cdots\)
1005.4.a.b	$1005$	$4$	1005.a	1.a	$1$	$12$	$12$	$59.297$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-16\)	\(36\)	\(60\)	\(-45\)	$-$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+3q^{3}+(3+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1005.4.a.c	$1005$	$4$	1005.a	1.a	$1$	$14$	$14$	$59.297$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(-42\)	\(-70\)	\(1\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(3+\beta _{2})q^{4}-5q^{5}+\cdots\)
1005.4.a.d	$1005$	$4$	1005.a	1.a	$1$	$17$	$17$	$59.297$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-51\)	\(85\)	\(-57\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1005.4.a.e	$1005$	$4$	1005.a	1.a	$1$	$17$	$17$	$59.297$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(51\)	\(-85\)	\(1\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(3+\beta _{2})q^{4}-5q^{5}+\cdots\)
1005.4.a.f	$1005$	$4$	1005.a	1.a	$1$	$17$	$17$	$59.297$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(51\)	\(-85\)	\(-27\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}-5q^{5}+\cdots\)
1005.4.a.g	$1005$	$4$	1005.a	1.a	$1$	$17$	$17$	$59.297$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(-51\)	\(85\)	\(83\)	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+5q^{5}+\cdots\)
1005.4.a.h	$1005$	$4$	1005.a	1.a	$1$	$18$	$18$	$59.297$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(-54\)	\(-90\)	\(-27\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots\)
1005.4.a.i	$1005$	$4$	1005.a	1.a	$1$	$18$	$18$	$59.297$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(54\)	\(90\)	\(83\)	$+$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3q^{3}+(5-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1006.4.a.a	$1006$	$4$	1006.a	1.a	$1$	$29$	$29$	$59.356$		None	✓	$1$	$1$	\(-58\)	\(7\)	\(-34\)	\(-3\)	$-$		$\mathrm{SU}(2)$
1006.4.a.b	$1006$	$4$	1006.a	1.a	$1$	$29$	$29$	$59.356$		None	✓	$1$	$1$	\(58\)	\(-25\)	\(-54\)	\(-77\)	$-$		$\mathrm{SU}(2)$
1006.4.a.c	$1006$	$4$	1006.a	1.a	$1$	$34$	$34$	$59.356$		None	✓	$1$	$0$	\(-68\)	\(-5\)	\(26\)	\(-17\)	$+$		$\mathrm{SU}(2)$
1006.4.a.d	$1006$	$4$	1006.a	1.a	$1$	$34$	$34$	$59.356$		None	✓	$1$	$0$	\(68\)	\(23\)	\(36\)	\(105\)	$+$		$\mathrm{SU}(2)$
1007.4.a.a	$1007$	$4$	1007.a	1.a	$1$	$1$	$1$	$59.415$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(10\)	\(11\)	\(10\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+10q^{3}+q^{4}+11q^{5}-30q^{6}+\cdots\)
1007.4.a.b	$1007$	$4$	1007.a	1.a	$1$	$50$	$50$	$59.415$		None	✓	$1$	$1$	\(-6\)	\(3\)	\(-16\)	\(-62\)	$-$		$\mathrm{SU}(2)$
1007.4.a.c	$1007$	$4$	1007.a	1.a	$1$	$52$	$52$	$59.415$		None	✓	$1$	$1$	\(-12\)	\(-27\)	\(-30\)	\(-108\)	$-$		$\mathrm{SU}(2)$
1007.4.a.d	$1007$	$4$	1007.a	1.a	$1$	$64$	$64$	$59.415$		None	✓	$1$	$0$	\(9\)	\(-13\)	\(33\)	\(96\)	$+$		$\mathrm{SU}(2)$
1007.4.a.e	$1007$	$4$	1007.a	1.a	$1$	$67$	$67$	$59.415$		None	✓	$1$	$0$	\(12\)	\(27\)	\(30\)	\(60\)	$+$		$\mathrm{SU}(2)$
1008.4.a.a	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-22\)	\(7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-22q^{5}+7q^{7}+26q^{11}-54q^{13}+\cdots\)
1008.4.a.b	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-18\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-18q^{5}-7q^{7}-72q^{11}-34q^{13}+\cdots\)
1008.4.a.c	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-16\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{4}q^{5}+7q^{7}-8q^{11}+28q^{13}+\cdots\)
1008.4.a.d	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-14q^{5}+7q^{7}+4q^{11}+54q^{13}+\cdots\)
1008.4.a.e	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{5}+7q^{7}+56q^{11}-28q^{13}+\cdots\)
1008.4.a.f	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}-12q^{11}-82q^{13}+\cdots\)
1008.4.a.g	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(-7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}+30q^{11}+2q^{13}-66q^{17}+\cdots\)
1008.4.a.h	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}+6^{2}q^{11}+62q^{13}+\cdots\)
1008.4.a.i	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+7q^{7}-26q^{11}+2q^{13}+6^{2}q^{17}+\cdots\)