Newform search results

Note: Search results may be incomplete due to uncomputed quantities: Analytic rank (80 objects)

Results (1-50 of 2566 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
389.2.a.a	$389$	$2$	389.a	1.a	$1$	$1$	$1$	$3.106$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-2\)	\(-3\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+2q^{4}-3q^{5}+4q^{6}+\cdots\)
433.2.a.a	$433$	$2$	433.a	1.a	$1$	$1$	$1$	$3.458$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-4\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}-4q^{5}+2q^{6}-3q^{7}+\cdots\)
446.2.a.a	$446$	$2$	446.a	1.a	$1$	$1$	$1$	$3.561$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-4q^{5}+3q^{6}-4q^{7}+\cdots\)
563.2.a.a	$563$	$2$	563.a	1.a	$1$	$1$	$1$	$4.496$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-1\)	\(-4\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-4q^{5}+q^{6}-5q^{7}+\cdots\)
571.2.a.a	$571$	$2$	571.a	1.a	$1$	$1$	$1$	$4.559$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-2\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+2q^{4}-2q^{5}+4q^{6}+\cdots\)
643.2.a.a	$643$	$2$	643.a	1.a	$1$	$1$	$1$	$5.134$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}-2q^{5}+2q^{6}-3q^{7}+\cdots\)
655.2.a.a	$655$	$2$	655.a	1.a	$1$	$1$	$1$	$5.230$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-3\)	\(-1\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+2q^{4}-q^{5}+6q^{6}+\cdots\)
664.2.a.a	$664$	$2$	664.a	1.a	$1$	$1$	$1$	$5.302$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-4\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-4q^{5}-5q^{7}+6q^{9}-3q^{11}+\cdots\)
681.2.a.a	$681$	$2$	681.a	1.a	$1$	$1$	$1$	$5.438$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-1\)	\(-4\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}-4q^{5}+2q^{6}+\cdots\)
707.2.a.a	$707$	$2$	707.a	1.a	$1$	$1$	$1$	$5.645$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-2\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+2q^{4}-3q^{5}+4q^{6}+\cdots\)
709.2.a.a	$709$	$2$	709.a	1.a	$1$	$1$	$1$	$5.661$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-1\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}-3q^{5}+2q^{6}+\cdots\)
718.2.a.a	$718$	$2$	718.a	1.a	$1$	$1$	$1$	$5.733$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-3\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}-5q^{7}+\cdots\)
794.2.a.a	$794$	$2$	794.a	1.a	$1$	$1$	$1$	$6.340$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-4\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-4q^{5}+2q^{6}-3q^{7}+\cdots\)
817.2.a.a	$817$	$2$	817.a	1.a	$1$	$1$	$1$	$6.524$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{4}-2q^{5}-4q^{7}+q^{9}+\cdots\)
916.2.a.a	$916$	$2$	916.a	1.a	$1$	$1$	$1$	$7.314$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-3q^{5}-4q^{7}+6q^{9}-3q^{11}+\cdots\)
127.4.a.a	$127$	$4$	127.a	1.a	$1$	$1$	$1$	$7.493$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-8\)	\(-15\)	\(-25\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-8q^{3}-7q^{4}-15q^{5}+8q^{6}+\cdots\)
944.2.a.a	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-3q^{5}-3q^{7}+6q^{9}-6q^{11}+\cdots\)
997.2.a.a	$997$	$2$	997.a	1.a	$1$	$1$	$1$	$7.961$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-1\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}-2q^{5}+2q^{6}+\cdots\)
997.2.a.c	$997$	$2$	997.a	1.a	$1$	$1$	$1$	$7.961$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-4\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-4q^{5}-2q^{7}-2q^{9}+\cdots\)
1001.2.a.a	$1001$	$2$	1001.a	1.a	$1$	$1$	$1$	$7.993$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-3\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+2q^{4}-3q^{5}+6q^{6}+\cdots\)
1028.2.a.a	$1028$	$2$	1028.a	1.a	$1$	$1$	$1$	$8.209$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(-4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{5}-4q^{7}+q^{9}-5q^{11}+\cdots\)
1034.2.a.a	$1034$	$2$	1034.a	1.a	$1$	$1$	$1$	$8.257$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-2q^{5}+2q^{6}-5q^{7}+\cdots\)
1041.2.a.a	$1041$	$2$	1041.a	1.a	$1$	$2$	$2$	$8.312$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-3\)	\(-2\)	\(-6\)	\(-6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}-3q^{5}+\cdots\)
1058.2.a.a	$1058$	$2$	1058.a	1.a	$1$	$1$	$1$	$8.448$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}-2q^{7}+\cdots\)
1061.2.a.a	$1061$	$2$	1061.a	1.a	$1$	$2$	$2$	$8.472$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-3\)	\(-3\)	\(-5\)	\(-6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots\)
1070.2.a.a	$1070$	$2$	1070.a	1.a	$1$	$1$	$1$	$8.544$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-1\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}-4q^{7}+\cdots\)
1073.2.a.a	$1073$	$2$	1073.a	1.a	$1$	$1$	$1$	$8.568$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-4\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-4q^{5}-q^{7}-2q^{9}-3q^{11}+\cdots\)
1077.2.a.a	$1077$	$2$	1077.a	1.a	$1$	$1$	$1$	$8.600$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-1\)	\(-3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}-3q^{7}+\cdots\)
1088.2.a.a	$1088$	$2$	1088.a	1.a	$1$	$1$	$1$	$8.688$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(-4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{5}-4q^{7}+q^{9}-2q^{11}+\cdots\)
1094.2.a.a	$1094$	$2$	1094.a	1.a	$1$	$1$	$1$	$8.736$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-2q^{5}+2q^{6}-4q^{7}+\cdots\)
1102.2.a.a	$1102$	$2$	1102.a	1.a	$1$	$1$	$1$	$8.800$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-1\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-4q^{7}+\cdots\)
1126.2.a.a	$1126$	$2$	1126.a	1.a	$1$	$1$	$1$	$8.991$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-2q^{5}+3q^{6}-3q^{7}+\cdots\)
1132.2.a.a	$1132$	$2$	1132.a	1.a	$1$	$1$	$1$	$9.039$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(-4\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots\)
1137.2.a.a	$1137$	$2$	1137.a	1.a	$1$	$1$	$1$	$9.079$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-1\)	\(-3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}-2q^{7}+\cdots\)
1141.2.a.a	$1141$	$2$	1141.a	1.a	$1$	$1$	$1$	$9.111$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-3\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}-3q^{5}+2q^{6}+q^{7}+\cdots\)
1143.2.a.a	$1143$	$2$	1143.a	1.a	$1$	$1$	$1$	$9.127$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(0\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-3q^{5}-4q^{7}+6q^{10}+\cdots\)
1147.2.a.b	$1147$	$2$	1147.a	1.a	$1$	$1$	$1$	$9.159$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-2\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-2q^{5}-5q^{7}-2q^{9}+\cdots\)
1154.2.e.a	$1154$	$2$	1154.e	577.e	$6$	$2$	$1$	$9.215$	\(\Q(\sqrt{-3}) \)	None		$2$	$2$	\(-1\)	\(-4\)	\(-6\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1+\zeta_{6})q^{2}-2q^{3}-\zeta_{6}q^{4}+(-2+\cdots)q^{5}+\cdots\)
1171.2.a.a	$1171$	$2$	1171.a	1.a	$1$	$1$	$1$	$9.350$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}-q^{4}-q^{5}+3q^{6}-q^{7}+\cdots\)
159.4.a.a	$159$	$4$	159.a	1.a	$1$	$1$	$1$	$9.381$	\(\Q\)	None	✓	$1$	$2$	\(-5\)	\(-3\)	\(-21\)	\(-16\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{2}-3q^{3}+17q^{4}-21q^{5}+15q^{6}+\cdots\)
1246.2.a.a	$1246$	$2$	1246.a	1.a	$1$	$1$	$1$	$9.949$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-3q^{5}+3q^{6}-q^{7}+\cdots\)
1309.2.a.a	$1309$	$2$	1309.a	1.a	$1$	$1$	$1$	$10.452$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-1\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}-3q^{5}+2q^{6}+\cdots\)
1324.2.a.a	$1324$	$2$	1324.a	1.a	$1$	$1$	$1$	$10.572$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-3q^{5}-4q^{7}+q^{9}-2q^{11}+\cdots\)
1325.2.a.a	$1325$	$2$	1325.a	1.a	$1$	$1$	$1$	$10.580$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(-2\)	\(0\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+2q^{4}+4q^{6}-3q^{7}+\cdots\)
1363.2.a.a	$1363$	$2$	1363.a	1.a	$1$	$2$	$2$	$10.884$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-3\)	\(-7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
1431.2.a.a	$1431$	$2$	1431.a	1.a	$1$	$1$	$1$	$11.427$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(0\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-3q^{5}-4q^{7}+3q^{8}+3q^{10}+\cdots\)
1436.2.a.a	$1436$	$2$	1436.a	1.a	$1$	$1$	$1$	$11.467$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(-3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-3q^{5}-3q^{7}+q^{9}-4q^{11}+\cdots\)
1443.2.a.a	$1443$	$2$	1443.a	1.a	$1$	$1$	$1$	$11.522$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-1\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}-4q^{7}+\cdots\)
1446.2.a.a	$1446$	$2$	1446.a	1.a	$1$	$1$	$1$	$11.546$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-1\)	\(-3\)	\(-5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-5q^{7}+\cdots\)
1466.2.a.b	$1466$	$2$	1466.a	1.a	$1$	$1$	$1$	$11.706$	\(\Q\)	None	✓	$1$	$2$	\(1\)	\(-3\)	\(-4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}-4q^{5}-3q^{6}-4q^{7}+\cdots\)