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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (1-50 of 116 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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
36992.2.a.a	$36992$	$2$	36992.a	1.a	$1$	$1$	$1$	$295.383$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$-2$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{5}+4q^{7}+q^{9}+2q^{11}+\cdots$
36992.2.a.b	$36992$	$2$	36992.a	1.a	$1$	$1$	$1$	$295.383$	$\Q$	None	✓	?				$-1$		$0$	$-2$	$2$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{5}-4q^{7}+q^{9}+2q^{11}+\cdots$
36992.2.a.c	$36992$	$2$	36992.a	1.a	$1$	$1$	$1$	$295.383$	$\Q$	None	✓	?				$-1$		$0$	$2$	$-2$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{5}-4q^{7}+q^{9}-2q^{11}+\cdots$
36992.2.a.d	$36992$	$2$	36992.a	1.a	$1$	$1$	$1$	$295.383$	$\Q$	None	✓	?				$-1$		$0$	$2$	$2$	$4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+2q^{5}+4q^{7}+q^{9}-2q^{11}+\cdots$
36992.2.a.e	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$-4$	$-4$	$-4$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.f	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$-4$	$-4$	$4$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.g	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$-4$	$4$	$-4$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.h	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$-4$	$4$	$4$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.i	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$-4$	$-8$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.j	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$-4$	$-8$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.k	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$-4$	$8$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.l	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$-4$	$8$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.m	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.n	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.o	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.p	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.q	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.r	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.s	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.t	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.u	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.v	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.w	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.x	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.y	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$4$	$-8$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.z	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$4$	$-8$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.ba	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$4$	$8$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bb	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$0$	$4$	$8$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bc	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$4$	$-4$	$-4$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bd	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$4$	$-4$	$4$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.be	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$4$	$4$	$-4$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bf	$36992$	$2$	36992.a	1.a	$1$	$2$	$2$	$295.383$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$0$	$4$	$4$	$4$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bg	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$-2$	$-4$	$-6$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bh	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$-2$	$4$	$6$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bi	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bj	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bk	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bl	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$0$	$2$	$2$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bm	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$2$	$-4$	$6$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bn	$36992$	$2$	36992.a	1.a	$1$	$3$	$3$	$295.383$	3.3.148.1	None	✓	?				$-1$		$0$	$2$	$4$	$-6$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bo	$36992$	$2$	36992.a	1.a	$1$	$4$	$4$	$295.383$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$		$\mathrm{SU}(2)$
36992.2.a.bp	$36992$	$2$	36992.a	1.a	$1$	$4$	$4$	$295.383$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$+$	$-$	$-$		$\mathrm{SU}(2)$
36992.2.a.bq	$36992$	$2$	36992.a	1.a	$1$	$4$	$4$	$295.383$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$		$\mathrm{SU}(2)$
36992.2.a.br	$36992$	$2$	36992.a	1.a	$1$	$4$	$4$	$295.383$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$0$	$0$	$0$	$0$	$-$	$-$	$+$		$\mathrm{SU}(2)$
36992.2.a.bs	$36992$	$2$	36992.a	1.a	$1$	$5$	$5$	$295.383$	5.5.401584.1	None	✓	?				$-1$		$0$	$-2$	$-4$	$2$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bt	$36992$	$2$	36992.a	1.a	$1$	$5$	$5$	$295.383$	5.5.401584.1	None	✓	?				$-1$		$0$	$-2$	$4$	$-2$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bu	$36992$	$2$	36992.a	1.a	$1$	$5$	$5$	$295.383$	5.5.135076.1	None	✓	?				$-1$		$0$	$0$	$-2$	$-2$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bv	$36992$	$2$	36992.a	1.a	$1$	$5$	$5$	$295.383$	5.5.135076.1	None	✓	?				$-1$		$0$	$0$	$-2$	$2$	$-$	$+$	$-$		$\mathrm{SU}(2)$
36992.2.a.bw	$36992$	$2$	36992.a	1.a	$1$	$5$	$5$	$295.383$	5.5.135076.1	None	✓	?				$-1$		$0$	$0$	$2$	$-2$	$+$	$+$	$+$		$\mathrm{SU}(2)$
36992.2.a.bx	$36992$	$2$	36992.a	1.a	$1$	$5$	$5$	$295.383$	5.5.135076.1	None	✓	?				$-1$		$0$	$0$	$2$	$2$	$-$	$+$	$-$		$\mathrm{SU}(2)$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.